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Finding the Fourth Proportional to 617,853.40, 927,363.30 and 381,657.40

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Solution

The fourth proportional to 617,853.40, 927,363.30 and 381,657.40 is: 572,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,853.40 : 927,363.30 = 381,657.40 : x
  2. Step 2: Convert to fraction form
    617,853.40/927,363.30 = 381,657.40/x
  3. Step 3: Cross multiply
    617,853.40x = 927,363.30 × 381,657.40
  4. Step 4: Simplify right side
    617,853.40x = 353,935,065,933.42
  5. Step 5: Solve for x
    x = 353,935,065,933.42/617,853.40
  6. Step 6: Final answer
    x = 572,846.35

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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.