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Finding the Fourth Proportional to 473,330, 653,196.52 and 258,470.48

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Solution

The fourth proportional to 473,330, 653,196.52 and 258,470.48 is: 356,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,330 : 653,196.52 = 258,470.48 : x
  2. Step 2: Convert to fraction form
    473,330/653,196.52 = 258,470.48/x
  3. Step 3: Cross multiply
    473,330x = 653,196.52 × 258,470.48
  4. Step 4: Simplify right side
    473,330x = 168,832,018,058.73
  5. Step 5: Solve for x
    x = 168,832,018,058.73/473,330
  6. Step 6: Final answer
    x = 356,689.87

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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.