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Finding the Fourth Proportional to 364,314.80, 546,472.20 and 288,207.20

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Solution

The fourth proportional to 364,314.80, 546,472.20 and 288,207.20 is: 432,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,314.80 : 546,472.20 = 288,207.20 : x
  2. Step 2: Convert to fraction form
    364,314.80/546,472.20 = 288,207.20/x
  3. Step 3: Cross multiply
    364,314.80x = 546,472.20 × 288,207.20
  4. Step 4: Simplify right side
    364,314.80x = 157,497,222,639.84
  5. Step 5: Solve for x
    x = 157,497,222,639.84/364,314.80
  6. Step 6: Final answer
    x = 432,310.80

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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.