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Finding the Fourth Proportional to 542,957.45, 810,027.51 and 513,564.17

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Solution

The fourth proportional to 542,957.45, 810,027.51 and 513,564.17 is: 766,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,957.45 : 810,027.51 = 513,564.17 : x
  2. Step 2: Convert to fraction form
    542,957.45/810,027.51 = 513,564.17/x
  3. Step 3: Cross multiply
    542,957.45x = 810,027.51 × 513,564.17
  4. Step 4: Simplify right side
    542,957.45x = 416,001,099,874.31
  5. Step 5: Solve for x
    x = 416,001,099,874.31/542,957.45
  6. Step 6: Final answer
    x = 766,176.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.