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Finding the Fourth Proportional to 416,458.80, 575,681.64 and 371,581.56

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Solution

The fourth proportional to 416,458.80, 575,681.64 and 371,581.56 is: 513,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,458.80 : 575,681.64 = 371,581.56 : x
  2. Step 2: Convert to fraction form
    416,458.80/575,681.64 = 371,581.56/x
  3. Step 3: Cross multiply
    416,458.80x = 575,681.64 × 371,581.56
  4. Step 4: Simplify right side
    416,458.80x = 213,912,681,854.56
  5. Step 5: Solve for x
    x = 213,912,681,854.56/416,458.80
  6. Step 6: Final answer
    x = 513,646.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.