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Finding the Fourth Proportional to 473,711.19, 653,713.54 and 258,846.31

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Solution

The fourth proportional to 473,711.19, 653,713.54 and 258,846.31 is: 357,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,711.19 : 653,713.54 = 258,846.31 : x
  2. Step 2: Convert to fraction form
    473,711.19/653,713.54 = 258,846.31/x
  3. Step 3: Cross multiply
    473,711.19x = 653,713.54 × 258,846.31
  4. Step 4: Simplify right side
    473,711.19x = 169,211,337,626.04
  5. Step 5: Solve for x
    x = 169,211,337,626.04/473,711.19
  6. Step 6: Final answer
    x = 357,203.59

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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.