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Finding the Fourth Proportional to 472,785.06, 709,180.29 and 117,799.14

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Solution

The fourth proportional to 472,785.06, 709,180.29 and 117,799.14 is: 176,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,785.06 : 709,180.29 = 117,799.14 : x
  2. Step 2: Convert to fraction form
    472,785.06/709,180.29 = 117,799.14/x
  3. Step 3: Cross multiply
    472,785.06x = 709,180.29 × 117,799.14
  4. Step 4: Simplify right side
    472,785.06x = 83,540,828,266.95
  5. Step 5: Solve for x
    x = 83,540,828,266.95/472,785.06
  6. Step 6: Final answer
    x = 176,699.38

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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.