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Finding the Fourth Proportional to 632,254.71, 947,412.49 and 429,592.71

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Solution

The fourth proportional to 632,254.71, 947,412.49 and 429,592.71 is: 643,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,254.71 : 947,412.49 = 429,592.71 : x
  2. Step 2: Convert to fraction form
    632,254.71/947,412.49 = 429,592.71/x
  3. Step 3: Cross multiply
    632,254.71x = 947,412.49 × 429,592.71
  4. Step 4: Simplify right side
    632,254.71x = 407,001,499,066.95
  5. Step 5: Solve for x
    x = 407,001,499,066.95/632,254.71
  6. Step 6: Final answer
    x = 643,730.28

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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.