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Finding the Fourth Proportional to 410,468.16, 616,006.98 and 310,753.92

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Solution

The fourth proportional to 410,468.16, 616,006.98 and 310,753.92 is: 466,361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,468.16 : 616,006.98 = 310,753.92 : x
  2. Step 2: Convert to fraction form
    410,468.16/616,006.98 = 310,753.92/x
  3. Step 3: Cross multiply
    410,468.16x = 616,006.98 × 310,753.92
  4. Step 4: Simplify right side
    410,468.16x = 191,426,583,782.36
  5. Step 5: Solve for x
    x = 191,426,583,782.36/410,468.16
  6. Step 6: Final answer
    x = 466,361.59

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Why These Related Problems?

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