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Finding the Fourth Proportional to 410,698.72, 614,549.38 and 242,299.72

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Solution

The fourth proportional to 410,698.72, 614,549.38 and 242,299.72 is: 362,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,698.72 : 614,549.38 = 242,299.72 : x
  2. Step 2: Convert to fraction form
    410,698.72/614,549.38 = 242,299.72/x
  3. Step 3: Cross multiply
    410,698.72x = 614,549.38 × 242,299.72
  4. Step 4: Simplify right side
    410,698.72x = 148,905,142,700.17
  5. Step 5: Solve for x
    x = 148,905,142,700.17/410,698.72
  6. Step 6: Final answer
    x = 362,565.39

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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.