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Finding the Fourth Proportional to 364,878.54, 547,284.40 and 258,717.92

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Solution

The fourth proportional to 364,878.54, 547,284.40 and 258,717.92 is: 388,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,878.54 : 547,284.40 = 258,717.92 : x
  2. Step 2: Convert to fraction form
    364,878.54/547,284.40 = 258,717.92/x
  3. Step 3: Cross multiply
    364,878.54x = 547,284.40 × 258,717.92
  4. Step 4: Simplify right side
    364,878.54x = 141,592,278,233.23
  5. Step 5: Solve for x
    x = 141,592,278,233.23/364,878.54
  6. Step 6: Final answer
    x = 388,053.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.