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Finding the Fourth Proportional to 456,448.14, 681,327.95 and 402,580.71

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Solution

The fourth proportional to 456,448.14, 681,327.95 and 402,580.71 is: 600,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.14 : 681,327.95 = 402,580.71 : x
  2. Step 2: Convert to fraction form
    456,448.14/681,327.95 = 402,580.71/x
  3. Step 3: Cross multiply
    456,448.14x = 681,327.95 × 402,580.71
  4. Step 4: Simplify right side
    456,448.14x = 274,289,487,840.94
  5. Step 5: Solve for x
    x = 274,289,487,840.94/456,448.14
  6. Step 6: Final answer
    x = 600,921.47

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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.