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Finding the Fourth Proportional to 464,726.04, 696,200.36 and 314,227.64

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Solution

The fourth proportional to 464,726.04, 696,200.36 and 314,227.64 is: 470,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,726.04 : 696,200.36 = 314,227.64 : x
  2. Step 2: Convert to fraction form
    464,726.04/696,200.36 = 314,227.64/x
  3. Step 3: Cross multiply
    464,726.04x = 696,200.36 × 314,227.64
  4. Step 4: Simplify right side
    464,726.04x = 218,765,391,037.81
  5. Step 5: Solve for x
    x = 218,765,391,037.81/464,726.04
  6. Step 6: Final answer
    x = 470,740.55

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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.