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Finding the Fourth Proportional to 497,763.60, 746,645.40 and 339,133.20

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Solution

The fourth proportional to 497,763.60, 746,645.40 and 339,133.20 is: 508,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,763.60 : 746,645.40 = 339,133.20 : x
  2. Step 2: Convert to fraction form
    497,763.60/746,645.40 = 339,133.20/x
  3. Step 3: Cross multiply
    497,763.60x = 746,645.40 × 339,133.20
  4. Step 4: Simplify right side
    497,763.60x = 253,212,243,767.28
  5. Step 5: Solve for x
    x = 253,212,243,767.28/497,763.60
  6. Step 6: Final answer
    x = 508,699.80

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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.