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Finding the Fourth Proportional to 523,409.60, 785,114.40 and 470,921.60

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Solution

The fourth proportional to 523,409.60, 785,114.40 and 470,921.60 is: 706,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,409.60 : 785,114.40 = 470,921.60 : x
  2. Step 2: Convert to fraction form
    523,409.60/785,114.40 = 470,921.60/x
  3. Step 3: Cross multiply
    523,409.60x = 785,114.40 × 470,921.60
  4. Step 4: Simplify right side
    523,409.60x = 369,727,329,431.04
  5. Step 5: Solve for x
    x = 369,727,329,431.04/523,409.60
  6. Step 6: Final answer
    x = 706,382.40

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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.