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Finding the Fourth Proportional to 514,406.74, 771,486.16 and 154,501.88

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Solution

The fourth proportional to 514,406.74, 771,486.16 and 154,501.88 is: 231,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,406.74 : 771,486.16 = 154,501.88 : x
  2. Step 2: Convert to fraction form
    514,406.74/771,486.16 = 154,501.88/x
  3. Step 3: Cross multiply
    514,406.74x = 771,486.16 × 154,501.88
  4. Step 4: Simplify right side
    514,406.74x = 119,196,062,113.98
  5. Step 5: Solve for x
    x = 119,196,062,113.98/514,406.74
  6. Step 6: Final answer
    x = 231,715.59

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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.