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Finding the Fourth Proportional to 280,279.40, 420,419.10 and 83,287.40

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Solution

The fourth proportional to 280,279.40, 420,419.10 and 83,287.40 is: 124,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,279.40 : 420,419.10 = 83,287.40 : x
  2. Step 2: Convert to fraction form
    280,279.40/420,419.10 = 83,287.40/x
  3. Step 3: Cross multiply
    280,279.40x = 420,419.10 × 83,287.40
  4. Step 4: Simplify right side
    280,279.40x = 35,015,613,749.34
  5. Step 5: Solve for x
    x = 35,015,613,749.34/280,279.40
  6. Step 6: Final answer
    x = 124,931.10

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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.