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Finding the Fourth Proportional to 473,219.16, 653,045.82 and 258,363.48

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Solution

The fourth proportional to 473,219.16, 653,045.82 and 258,363.48 is: 356,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,219.16 : 653,045.82 = 258,363.48 : x
  2. Step 2: Convert to fraction form
    473,219.16/653,045.82 = 258,363.48/x
  3. Step 3: Cross multiply
    473,219.16x = 653,045.82 × 258,363.48
  4. Step 4: Simplify right side
    473,219.16x = 168,723,190,654.65
  5. Step 5: Solve for x
    x = 168,723,190,654.65/473,219.16
  6. Step 6: Final answer
    x = 356,543.45

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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.