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Finding the Fourth Proportional to 462,393.60, 693,784.80 and 252,182.40

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Solution

The fourth proportional to 462,393.60, 693,784.80 and 252,182.40 is: 378,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,393.60 : 693,784.80 = 252,182.40 : x
  2. Step 2: Convert to fraction form
    462,393.60/693,784.80 = 252,182.40/x
  3. Step 3: Cross multiply
    462,393.60x = 693,784.80 × 252,182.40
  4. Step 4: Simplify right side
    462,393.60x = 174,960,315,947.52
  5. Step 5: Solve for x
    x = 174,960,315,947.52/462,393.60
  6. Step 6: Final answer
    x = 378,379.62

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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.