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Finding the Fourth Proportional to 415,721.60, 573,681.84 and 262,842.08

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Solution

The fourth proportional to 415,721.60, 573,681.84 and 262,842.08 is: 362,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,721.60 : 573,681.84 = 262,842.08 : x
  2. Step 2: Convert to fraction form
    415,721.60/573,681.84 = 262,842.08/x
  3. Step 3: Cross multiply
    415,721.60x = 573,681.84 × 262,842.08
  4. Step 4: Simplify right side
    415,721.60x = 150,787,728,083.83
  5. Step 5: Solve for x
    x = 150,787,728,083.83/415,721.60
  6. Step 6: Final answer
    x = 362,713.24

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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.