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Finding the Fourth Proportional to 457,814.40, 685,339.20 and 402,518.40

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Solution

The fourth proportional to 457,814.40, 685,339.20 and 402,518.40 is: 602,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,814.40 : 685,339.20 = 402,518.40 : x
  2. Step 2: Convert to fraction form
    457,814.40/685,339.20 = 402,518.40/x
  3. Step 3: Cross multiply
    457,814.40x = 685,339.20 × 402,518.40
  4. Step 4: Simplify right side
    457,814.40x = 275,861,638,241.28
  5. Step 5: Solve for x
    x = 275,861,638,241.28/457,814.40
  6. Step 6: Final answer
    x = 602,562.17

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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.