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Finding the Fourth Proportional to 305,602.80, 458,404.20 and 288,106.80

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Solution

The fourth proportional to 305,602.80, 458,404.20 and 288,106.80 is: 432,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,602.80 : 458,404.20 = 288,106.80 : x
  2. Step 2: Convert to fraction form
    305,602.80/458,404.20 = 288,106.80/x
  3. Step 3: Cross multiply
    305,602.80x = 458,404.20 × 288,106.80
  4. Step 4: Simplify right side
    305,602.80x = 132,069,367,168.56
  5. Step 5: Solve for x
    x = 132,069,367,168.56/305,602.80
  6. Step 6: Final answer
    x = 432,160.20

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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.