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Finding the Fourth Proportional to 497,352.60, 746,028.90 and 429,701.40

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Solution

The fourth proportional to 497,352.60, 746,028.90 and 429,701.40 is: 644,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,352.60 : 746,028.90 = 429,701.40 : x
  2. Step 2: Convert to fraction form
    497,352.60/746,028.90 = 429,701.40/x
  3. Step 3: Cross multiply
    497,352.60x = 746,028.90 × 429,701.40
  4. Step 4: Simplify right side
    497,352.60x = 320,569,662,770.46
  5. Step 5: Solve for x
    x = 320,569,662,770.46/497,352.60
  6. Step 6: Final answer
    x = 644,552.10

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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.