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Finding the Fourth Proportional to 473,279.64, 709,498.50 and 173,691.66

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Solution

The fourth proportional to 473,279.64, 709,498.50 and 173,691.66 is: 260,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,279.64 : 709,498.50 = 173,691.66 : x
  2. Step 2: Convert to fraction form
    473,279.64/709,498.50 = 173,691.66/x
  3. Step 3: Cross multiply
    473,279.64x = 709,498.50 × 173,691.66
  4. Step 4: Simplify right side
    473,279.64x = 123,233,972,232.51
  5. Step 5: Solve for x
    x = 123,233,972,232.51/473,279.64
  6. Step 6: Final answer
    x = 260,383.00

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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.