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Finding the Fourth Proportional to 473,711.16, 653,723.10 and 258,851.22

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Solution

The fourth proportional to 473,711.16, 653,723.10 and 258,851.22 is: 357,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,711.16 : 653,723.10 = 258,851.22 : x
  2. Step 2: Convert to fraction form
    473,711.16/653,723.10 = 258,851.22/x
  3. Step 3: Cross multiply
    473,711.16x = 653,723.10 × 258,851.22
  4. Step 4: Simplify right side
    473,711.16x = 169,217,021,977.18
  5. Step 5: Solve for x
    x = 169,217,021,977.18/473,711.16
  6. Step 6: Final answer
    x = 357,215.61

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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.