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Finding the Fourth Proportional to 514,178.16, 771,191.28 and 301,044.48

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Solution

The fourth proportional to 514,178.16, 771,191.28 and 301,044.48 is: 451,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,178.16 : 771,191.28 = 301,044.48 : x
  2. Step 2: Convert to fraction form
    514,178.16/771,191.28 = 301,044.48/x
  3. Step 3: Cross multiply
    514,178.16x = 771,191.28 × 301,044.48
  4. Step 4: Simplify right side
    514,178.16x = 232,162,877,868.13
  5. Step 5: Solve for x
    x = 232,162,877,868.13/514,178.16
  6. Step 6: Final answer
    x = 451,522.25

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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.