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Finding the Fourth Proportional to 473,328, 653,193.76 and 258,468.48

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Solution

The fourth proportional to 473,328, 653,193.76 and 258,468.48 is: 356,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,328 : 653,193.76 = 258,468.48 : x
  2. Step 2: Convert to fraction form
    473,328/653,193.76 = 258,468.48/x
  3. Step 3: Cross multiply
    473,328x = 653,193.76 × 258,468.48
  4. Step 4: Simplify right side
    473,328x = 168,829,998,292.69
  5. Step 5: Solve for x
    x = 168,829,998,292.69/473,328
  6. Step 6: Final answer
    x = 356,687.11

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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.