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Finding the Fourth Proportional to 288,832.16, 433,081.47 and 89,098.91

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Solution

The fourth proportional to 288,832.16, 433,081.47 and 89,098.91 is: 133,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,832.16 : 433,081.47 = 89,098.91 : x
  2. Step 2: Convert to fraction form
    288,832.16/433,081.47 = 89,098.91/x
  3. Step 3: Cross multiply
    288,832.16x = 433,081.47 × 89,098.91
  4. Step 4: Simplify right side
    288,832.16x = 38,587,088,000.90
  5. Step 5: Solve for x
    x = 38,587,088,000.90/288,832.16
  6. Step 6: Final answer
    x = 133,596.93

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1.5x scale

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.