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Finding the Fourth Proportional to 506,539.40, 759,809.10 and 457,550.60

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Solution

The fourth proportional to 506,539.40, 759,809.10 and 457,550.60 is: 686,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,539.40 : 759,809.10 = 457,550.60 : x
  2. Step 2: Convert to fraction form
    506,539.40/759,809.10 = 457,550.60/x
  3. Step 3: Cross multiply
    506,539.40x = 759,809.10 × 457,550.60
  4. Step 4: Simplify right side
    506,539.40x = 347,651,109,590.46
  5. Step 5: Solve for x
    x = 347,651,109,590.46/506,539.40
  6. Step 6: Final answer
    x = 686,325.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.