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Finding the Fourth Proportional to 300,002.60, 450,003.90 and 286,178.60

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Solution

The fourth proportional to 300,002.60, 450,003.90 and 286,178.60 is: 429,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,002.60 : 450,003.90 = 286,178.60 : x
  2. Step 2: Convert to fraction form
    300,002.60/450,003.90 = 286,178.60/x
  3. Step 3: Cross multiply
    300,002.60x = 450,003.90 × 286,178.60
  4. Step 4: Simplify right side
    300,002.60x = 128,781,486,096.54
  5. Step 5: Solve for x
    x = 128,781,486,096.54/300,002.60
  6. Step 6: Final answer
    x = 429,267.90

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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.