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Finding the Fourth Proportional to 410,686.82, 614,531.52 and 242,287.82

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Solution

The fourth proportional to 410,686.82, 614,531.52 and 242,287.82 is: 362,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,686.82 : 614,531.52 = 242,287.82 : x
  2. Step 2: Convert to fraction form
    410,686.82/614,531.52 = 242,287.82/x
  3. Step 3: Cross multiply
    410,686.82x = 614,531.52 × 242,287.82
  4. Step 4: Simplify right side
    410,686.82x = 148,893,502,302.09
  5. Step 5: Solve for x
    x = 148,893,502,302.09/410,686.82
  6. Step 6: Final answer
    x = 362,547.55

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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.