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Finding the Fourth Proportional to 410,111.10, 566,216.73 and 257,358.87

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Solution

The fourth proportional to 410,111.10, 566,216.73 and 257,358.87 is: 355,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,111.10 : 566,216.73 = 257,358.87 : x
  2. Step 2: Convert to fraction form
    410,111.10/566,216.73 = 257,358.87/x
  3. Step 3: Cross multiply
    410,111.10x = 566,216.73 × 257,358.87
  4. Step 4: Simplify right side
    410,111.10x = 145,720,897,807.90
  5. Step 5: Solve for x
    x = 145,720,897,807.90/410,111.10
  6. Step 6: Final answer
    x = 355,320.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.