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Finding the Fourth Proportional to 386,001.40, 578,742.90 and 206,116.60

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Solution

The fourth proportional to 386,001.40, 578,742.90 and 206,116.60 is: 309,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,001.40 : 578,742.90 = 206,116.60 : x
  2. Step 2: Convert to fraction form
    386,001.40/578,742.90 = 206,116.60/x
  3. Step 3: Cross multiply
    386,001.40x = 578,742.90 × 206,116.60
  4. Step 4: Simplify right side
    386,001.40x = 119,288,518,822.14
  5. Step 5: Solve for x
    x = 119,288,518,822.14/386,001.40
  6. Step 6: Final answer
    x = 309,036.49

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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.