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Finding the Fourth Proportional to 802,054.14, 1,106,761.11 and 462,456.78

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Solution

The fourth proportional to 802,054.14, 1,106,761.11 and 462,456.78 is: 638,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,054.14 : 1,106,761.11 = 462,456.78 : x
  2. Step 2: Convert to fraction form
    802,054.14/1,106,761.11 = 462,456.78/x
  3. Step 3: Cross multiply
    802,054.14x = 1,106,761.11 × 462,456.78
  4. Step 4: Simplify right side
    802,054.14x = 511,829,179,159.83
  5. Step 5: Solve for x
    x = 511,829,179,159.83/802,054.14
  6. Step 6: Final answer
    x = 638,147.92

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Why These Related Problems?

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