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Finding the Fourth Proportional to 274,831.30, 411,547.08 and 181,052.74

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Solution

The fourth proportional to 274,831.30, 411,547.08 and 181,052.74 is: 271,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,831.30 : 411,547.08 = 181,052.74 : x
  2. Step 2: Convert to fraction form
    274,831.30/411,547.08 = 181,052.74/x
  3. Step 3: Cross multiply
    274,831.30x = 411,547.08 × 181,052.74
  4. Step 4: Simplify right side
    274,831.30x = 74,511,726,473.00
  5. Step 5: Solve for x
    x = 74,511,726,473.00/274,831.30
  6. Step 6: Final answer
    x = 271,118.05

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Why These Related Problems?

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