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Finding the Fourth Proportional to 596,244.96, 894,359.52 and 146,971.20

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Solution

The fourth proportional to 596,244.96, 894,359.52 and 146,971.20 is: 220,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,244.96 : 894,359.52 = 146,971.20 : x
  2. Step 2: Convert to fraction form
    596,244.96/894,359.52 = 146,971.20/x
  3. Step 3: Cross multiply
    596,244.96x = 894,359.52 × 146,971.20
  4. Step 4: Simplify right side
    596,244.96x = 131,445,091,885.82
  5. Step 5: Solve for x
    x = 131,445,091,885.82/596,244.96
  6. Step 6: Final answer
    x = 220,454.85

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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.