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Finding the Fourth Proportional to 552,645, 762,650.10 and 314,181

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Solution

The fourth proportional to 552,645, 762,650.10 and 314,181 is: 433,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,645 : 762,650.10 = 314,181 : x
  2. Step 2: Convert to fraction form
    552,645/762,650.10 = 314,181/x
  3. Step 3: Cross multiply
    552,645x = 762,650.10 × 314,181
  4. Step 4: Simplify right side
    552,645x = 239,610,171,068.10
  5. Step 5: Solve for x
    x = 239,610,171,068.10/552,645
  6. Step 6: Final answer
    x = 433,569.78

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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.