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Finding the Fourth Proportional to 473,291.62, 653,139.82 and 258,430.16

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Solution

The fourth proportional to 473,291.62, 653,139.82 and 258,430.16 is: 356,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,291.62 : 653,139.82 = 258,430.16 : x
  2. Step 2: Convert to fraction form
    473,291.62/653,139.82 = 258,430.16/x
  3. Step 3: Cross multiply
    473,291.62x = 653,139.82 × 258,430.16
  4. Step 4: Simplify right side
    473,291.62x = 168,791,029,171.75
  5. Step 5: Solve for x
    x = 168,791,029,171.75/473,291.62
  6. Step 6: Final answer
    x = 356,632.20

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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.