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Finding the Fourth Proportional to 520,142.40, 778,901.40 and 415,166.40

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Solution

The fourth proportional to 520,142.40, 778,901.40 and 415,166.40 is: 621,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,142.40 : 778,901.40 = 415,166.40 : x
  2. Step 2: Convert to fraction form
    520,142.40/778,901.40 = 415,166.40/x
  3. Step 3: Cross multiply
    520,142.40x = 778,901.40 × 415,166.40
  4. Step 4: Simplify right side
    520,142.40x = 323,373,690,192.96
  5. Step 5: Solve for x
    x = 323,373,690,192.96/520,142.40
  6. Step 6: Final answer
    x = 621,702.23

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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.