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Finding the Fourth Proportional to 413,800.31, 617,079.33 and 410,016.74

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Solution

The fourth proportional to 413,800.31, 617,079.33 and 410,016.74 is: 611,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,800.31 : 617,079.33 = 410,016.74 : x
  2. Step 2: Convert to fraction form
    413,800.31/617,079.33 = 410,016.74/x
  3. Step 3: Cross multiply
    413,800.31x = 617,079.33 × 410,016.74
  4. Step 4: Simplify right side
    413,800.31x = 253,012,852,122.59
  5. Step 5: Solve for x
    x = 253,012,852,122.59/413,800.31
  6. Step 6: Final answer
    x = 611,437.07

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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.