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Finding the Fourth Proportional to 288,567.84, 398,215.92 and 161,244.48

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Solution

The fourth proportional to 288,567.84, 398,215.92 and 161,244.48 is: 222,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,567.84 : 398,215.92 = 161,244.48 : x
  2. Step 2: Convert to fraction form
    288,567.84/398,215.92 = 161,244.48/x
  3. Step 3: Cross multiply
    288,567.84x = 398,215.92 × 161,244.48
  4. Step 4: Simplify right side
    288,567.84x = 64,210,118,948.12
  5. Step 5: Solve for x
    x = 64,210,118,948.12/288,567.84
  6. Step 6: Final answer
    x = 222,513.08

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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.