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Finding the Fourth Proportional to 410,681.88, 614,524.12 and 242,282.88

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Solution

The fourth proportional to 410,681.88, 614,524.12 and 242,282.88 is: 362,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,681.88 : 614,524.12 = 242,282.88 : x
  2. Step 2: Convert to fraction form
    410,681.88/614,524.12 = 242,282.88/x
  3. Step 3: Cross multiply
    410,681.88x = 614,524.12 × 242,282.88
  4. Step 4: Simplify right side
    410,681.88x = 148,888,673,017.36
  5. Step 5: Solve for x
    x = 148,888,673,017.36/410,681.88
  6. Step 6: Final answer
    x = 362,540.16

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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.