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Finding the Fourth Proportional to 473,264.28, 653,113.80 and 258,412.86

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Solution

The fourth proportional to 473,264.28, 653,113.80 and 258,412.86 is: 356,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,264.28 : 653,113.80 = 258,412.86 : x
  2. Step 2: Convert to fraction form
    473,264.28/653,113.80 = 258,412.86/x
  3. Step 3: Cross multiply
    473,264.28x = 653,113.80 × 258,412.86
  4. Step 4: Simplify right side
    473,264.28x = 168,773,004,963.47
  5. Step 5: Solve for x
    x = 168,773,004,963.47/473,264.28
  6. Step 6: Final answer
    x = 356,614.71

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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.