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Finding the Fourth Proportional to 473,294.43, 653,143.77 and 258,434.64

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Solution

The fourth proportional to 473,294.43, 653,143.77 and 258,434.64 is: 356,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,294.43 : 653,143.77 = 258,434.64 : x
  2. Step 2: Convert to fraction form
    473,294.43/653,143.77 = 258,434.64/x
  3. Step 3: Cross multiply
    473,294.43x = 653,143.77 × 258,434.64
  4. Step 4: Simplify right side
    473,294.43x = 168,794,975,068.19
  5. Step 5: Solve for x
    x = 168,794,975,068.19/473,294.43
  6. Step 6: Final answer
    x = 356,638.41

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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.