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Finding the Fourth Proportional to 288,612.10, 398,026.81 and 181,192.14

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Solution

The fourth proportional to 288,612.10, 398,026.81 and 181,192.14 is: 249,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,612.10 : 398,026.81 = 181,192.14 : x
  2. Step 2: Convert to fraction form
    288,612.10/398,026.81 = 181,192.14/x
  3. Step 3: Cross multiply
    288,612.10x = 398,026.81 × 181,192.14
  4. Step 4: Simplify right side
    288,612.10x = 72,119,329,481.27
  5. Step 5: Solve for x
    x = 72,119,329,481.27/288,612.10
  6. Step 6: Final answer
    x = 249,883.25

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1.5x scale

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.