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Finding the Fourth Proportional to 386,507.84, 534,112.80 and 290,847.92

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Solution

The fourth proportional to 386,507.84, 534,112.80 and 290,847.92 is: 401,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,507.84 : 534,112.80 = 290,847.92 : x
  2. Step 2: Convert to fraction form
    386,507.84/534,112.80 = 290,847.92/x
  3. Step 3: Cross multiply
    386,507.84x = 534,112.80 × 290,847.92
  4. Step 4: Simplify right side
    386,507.84x = 155,345,596,925.38
  5. Step 5: Solve for x
    x = 155,345,596,925.38/386,507.84
  6. Step 6: Final answer
    x = 401,920.95

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Why These Related Problems?

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