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Finding the Fourth Proportional to 423,066.16, 634,601.42 and 142,585.84

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Solution

The fourth proportional to 423,066.16, 634,601.42 and 142,585.84 is: 213,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,066.16 : 634,601.42 = 142,585.84 : x
  2. Step 2: Convert to fraction form
    423,066.16/634,601.42 = 142,585.84/x
  3. Step 3: Cross multiply
    423,066.16x = 634,601.42 × 142,585.84
  4. Step 4: Simplify right side
    423,066.16x = 90,485,176,535.89
  5. Step 5: Solve for x
    x = 90,485,176,535.89/423,066.16
  6. Step 6: Final answer
    x = 213,879.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.