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Finding the Fourth Proportional to 456,455.14, 681,338.42 and 402,587.71

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Solution

The fourth proportional to 456,455.14, 681,338.42 and 402,587.71 is: 600,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,455.14 : 681,338.42 = 402,587.71 : x
  2. Step 2: Convert to fraction form
    456,455.14/681,338.42 = 402,587.71/x
  3. Step 3: Cross multiply
    456,455.14x = 681,338.42 × 402,587.71
  4. Step 4: Simplify right side
    456,455.14x = 274,298,474,242.82
  5. Step 5: Solve for x
    x = 274,298,474,242.82/456,455.14
  6. Step 6: Final answer
    x = 600,931.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.