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Finding the Fourth Proportional to 473,710.19, 653,712.17 and 258,845.31

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Solution

The fourth proportional to 473,710.19, 653,712.17 and 258,845.31 is: 357,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,710.19 : 653,712.17 = 258,845.31 : x
  2. Step 2: Convert to fraction form
    473,710.19/653,712.17 = 258,845.31/x
  3. Step 3: Cross multiply
    473,710.19x = 653,712.17 × 258,845.31
  4. Step 4: Simplify right side
    473,710.19x = 169,210,328,000.20
  5. Step 5: Solve for x
    x = 169,210,328,000.20/473,710.19
  6. Step 6: Final answer
    x = 357,202.22

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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.