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Finding the Fourth Proportional to 473,806.14, 653,850.95 and 258,946.16

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Solution

The fourth proportional to 473,806.14, 653,850.95 and 258,946.16 is: 357,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,806.14 : 653,850.95 = 258,946.16 : x
  2. Step 2: Convert to fraction form
    473,806.14/653,850.95 = 258,946.16/x
  3. Step 3: Cross multiply
    473,806.14x = 653,850.95 × 258,946.16
  4. Step 4: Simplify right side
    473,806.14x = 169,312,188,150.87
  5. Step 5: Solve for x
    x = 169,312,188,150.87/473,806.14
  6. Step 6: Final answer
    x = 357,344.86

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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.