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Finding the Fourth Proportional to 473,760.78, 653,791.59 and 258,904.14

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Solution

The fourth proportional to 473,760.78, 653,791.59 and 258,904.14 is: 357,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760.78 : 653,791.59 = 258,904.14 : x
  2. Step 2: Convert to fraction form
    473,760.78/653,791.59 = 258,904.14/x
  3. Step 3: Cross multiply
    473,760.78x = 653,791.59 × 258,904.14
  4. Step 4: Simplify right side
    473,760.78x = 169,269,349,348.18
  5. Step 5: Solve for x
    x = 169,269,349,348.18/473,760.78
  6. Step 6: Final answer
    x = 357,288.65

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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.