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Finding the Fourth Proportional to 523,467.30, 785,200.95 and 470,323.20

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Solution

The fourth proportional to 523,467.30, 785,200.95 and 470,323.20 is: 705,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,467.30 : 785,200.95 = 470,323.20 : x
  2. Step 2: Convert to fraction form
    523,467.30/785,200.95 = 470,323.20/x
  3. Step 3: Cross multiply
    523,467.30x = 785,200.95 × 470,323.20
  4. Step 4: Simplify right side
    523,467.30x = 369,298,223,447.04
  5. Step 5: Solve for x
    x = 369,298,223,447.04/523,467.30
  6. Step 6: Final answer
    x = 705,484.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.