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Finding the Fourth Proportional to 475,763.51, 713,534.81 and 283,691.57

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Solution

The fourth proportional to 475,763.51, 713,534.81 and 283,691.57 is: 425,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,763.51 : 713,534.81 = 283,691.57 : x
  2. Step 2: Convert to fraction form
    475,763.51/713,534.81 = 283,691.57/x
  3. Step 3: Cross multiply
    475,763.51x = 713,534.81 × 283,691.57
  4. Step 4: Simplify right side
    475,763.51x = 202,423,805,512.42
  5. Step 5: Solve for x
    x = 202,423,805,512.42/475,763.51
  6. Step 6: Final answer
    x = 425,471.49

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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.