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Finding the Fourth Proportional to 473,646.96, 653,625.16 and 258,782.40

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Solution

The fourth proportional to 473,646.96, 653,625.16 and 258,782.40 is: 357,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,646.96 : 653,625.16 = 258,782.40 : x
  2. Step 2: Convert to fraction form
    473,646.96/653,625.16 = 258,782.40/x
  3. Step 3: Cross multiply
    473,646.96x = 653,625.16 × 258,782.40
  4. Step 4: Simplify right side
    473,646.96x = 169,146,687,605.18
  5. Step 5: Solve for x
    x = 169,146,687,605.18/473,646.96
  6. Step 6: Final answer
    x = 357,115.54

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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.