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Finding the Fourth Proportional to 473,645.70, 653,623.43 and 258,781.16

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Solution

The fourth proportional to 473,645.70, 653,623.43 and 258,781.16 is: 357,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,645.70 : 653,623.43 = 258,781.16 : x
  2. Step 2: Convert to fraction form
    473,645.70/653,623.43 = 258,781.16/x
  3. Step 3: Cross multiply
    473,645.70x = 653,623.43 × 258,781.16
  4. Step 4: Simplify right side
    473,645.70x = 169,145,424,856.56
  5. Step 5: Solve for x
    x = 169,145,424,856.56/473,645.70
  6. Step 6: Final answer
    x = 357,113.82

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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.