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Finding the Fourth Proportional to 301,280.56, 415,780.20 and 180,441.52

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Solution

The fourth proportional to 301,280.56, 415,780.20 and 180,441.52 is: 249,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,280.56 : 415,780.20 = 180,441.52 : x
  2. Step 2: Convert to fraction form
    301,280.56/415,780.20 = 180,441.52/x
  3. Step 3: Cross multiply
    301,280.56x = 415,780.20 × 180,441.52
  4. Step 4: Simplify right side
    301,280.56x = 75,024,011,273.90
  5. Step 5: Solve for x
    x = 75,024,011,273.90/301,280.56
  6. Step 6: Final answer
    x = 249,017.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.