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Finding the Fourth Proportional to 288,728.55, 433,166.54 and 120,192.84

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Solution

The fourth proportional to 288,728.55, 433,166.54 and 120,192.84 is: 180,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,728.55 : 433,166.54 = 120,192.84 : x
  2. Step 2: Convert to fraction form
    288,728.55/433,166.54 = 120,192.84/x
  3. Step 3: Cross multiply
    288,728.55x = 433,166.54 × 120,192.84
  4. Step 4: Simplify right side
    288,728.55x = 52,063,516,034.61
  5. Step 5: Solve for x
    x = 52,063,516,034.61/288,728.55
  6. Step 6: Final answer
    x = 180,319.94

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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.