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Finding the Fourth Proportional to 614,184.96, 920,962.56 and 281,472

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Solution

The fourth proportional to 614,184.96, 920,962.56 and 281,472 is: 422,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,184.96 : 920,962.56 = 281,472 : x
  2. Step 2: Convert to fraction form
    614,184.96/920,962.56 = 281,472/x
  3. Step 3: Cross multiply
    614,184.96x = 920,962.56 × 281,472
  4. Step 4: Simplify right side
    614,184.96x = 259,225,173,688.32
  5. Step 5: Solve for x
    x = 259,225,173,688.32/614,184.96
  6. Step 6: Final answer
    x = 422,063.70

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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.