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Finding the Fourth Proportional to 514,455.83, 771,723.67 and 154,598.59

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Solution

The fourth proportional to 514,455.83, 771,723.67 and 154,598.59 is: 231,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,455.83 : 771,723.67 = 154,598.59 : x
  2. Step 2: Convert to fraction form
    514,455.83/771,723.67 = 154,598.59/x
  3. Step 3: Cross multiply
    514,455.83x = 771,723.67 × 154,598.59
  4. Step 4: Simplify right side
    514,455.83x = 119,307,391,251.63
  5. Step 5: Solve for x
    x = 119,307,391,251.63/514,455.83
  6. Step 6: Final answer
    x = 231,909.88

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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.