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Finding the Fourth Proportional to 288,710.20, 433,065.30 and 78,374.20

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Solution

The fourth proportional to 288,710.20, 433,065.30 and 78,374.20 is: 117,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,710.20 : 433,065.30 = 78,374.20 : x
  2. Step 2: Convert to fraction form
    288,710.20/433,065.30 = 78,374.20/x
  3. Step 3: Cross multiply
    288,710.20x = 433,065.30 × 78,374.20
  4. Step 4: Simplify right side
    288,710.20x = 33,941,146,435.26
  5. Step 5: Solve for x
    x = 33,941,146,435.26/288,710.20
  6. Step 6: Final answer
    x = 117,561.30

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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.