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Finding the Fourth Proportional to 288,937.60, 433,406.40 and 194,459.20

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Solution

The fourth proportional to 288,937.60, 433,406.40 and 194,459.20 is: 291,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,937.60 : 433,406.40 = 194,459.20 : x
  2. Step 2: Convert to fraction form
    288,937.60/433,406.40 = 194,459.20/x
  3. Step 3: Cross multiply
    288,937.60x = 433,406.40 × 194,459.20
  4. Step 4: Simplify right side
    288,937.60x = 84,279,861,818.88
  5. Step 5: Solve for x
    x = 84,279,861,818.88/288,937.60
  6. Step 6: Final answer
    x = 291,688.80

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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.