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Finding the Fourth Proportional to 512,616.48, 707,497.11 and 297,881.10

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Solution

The fourth proportional to 512,616.48, 707,497.11 and 297,881.10 is: 411,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,616.48 : 707,497.11 = 297,881.10 : x
  2. Step 2: Convert to fraction form
    512,616.48/707,497.11 = 297,881.10/x
  3. Step 3: Cross multiply
    512,616.48x = 707,497.11 × 297,881.10
  4. Step 4: Simplify right side
    512,616.48x = 210,750,018,800.59
  5. Step 5: Solve for x
    x = 210,750,018,800.59/512,616.48
  6. Step 6: Final answer
    x = 411,126.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.