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Finding the Fourth Proportional to 475,185.17, 712,691.65 and 190,864.24

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Solution

The fourth proportional to 475,185.17, 712,691.65 and 190,864.24 is: 286,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,185.17 : 712,691.65 = 190,864.24 : x
  2. Step 2: Convert to fraction form
    475,185.17/712,691.65 = 190,864.24/x
  3. Step 3: Cross multiply
    475,185.17x = 712,691.65 × 190,864.24
  4. Step 4: Simplify right side
    475,185.17x = 136,027,350,131.60
  5. Step 5: Solve for x
    x = 136,027,350,131.60/475,185.17
  6. Step 6: Final answer
    x = 286,261.77

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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.