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Finding the Fourth Proportional to 492,024.60, 738,036.90 and 339,809.40

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Solution

The fourth proportional to 492,024.60, 738,036.90 and 339,809.40 is: 509,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,024.60 : 738,036.90 = 339,809.40 : x
  2. Step 2: Convert to fraction form
    492,024.60/738,036.90 = 339,809.40/x
  3. Step 3: Cross multiply
    492,024.60x = 738,036.90 × 339,809.40
  4. Step 4: Simplify right side
    492,024.60x = 250,791,876,166.86
  5. Step 5: Solve for x
    x = 250,791,876,166.86/492,024.60
  6. Step 6: Final answer
    x = 509,714.10

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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.