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Finding the Fourth Proportional to 473,296.98, 653,146.56 and 258,436.92

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Solution

The fourth proportional to 473,296.98, 653,146.56 and 258,436.92 is: 356,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,296.98 : 653,146.56 = 258,436.92 : x
  2. Step 2: Convert to fraction form
    473,296.98/653,146.56 = 258,436.92/x
  3. Step 3: Cross multiply
    473,296.98x = 653,146.56 × 258,436.92
  4. Step 4: Simplify right side
    473,296.98x = 168,797,185,275.00
  5. Step 5: Solve for x
    x = 168,797,185,275.00/473,296.98
  6. Step 6: Final answer
    x = 356,641.16

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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.