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Finding the Fourth Proportional to 302,602.80, 453,904.20 and 288,824.70

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Solution

The fourth proportional to 302,602.80, 453,904.20 and 288,824.70 is: 433,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,602.80 : 453,904.20 = 288,824.70 : x
  2. Step 2: Convert to fraction form
    302,602.80/453,904.20 = 288,824.70/x
  3. Step 3: Cross multiply
    302,602.80x = 453,904.20 × 288,824.70
  4. Step 4: Simplify right side
    302,602.80x = 131,098,744,393.74
  5. Step 5: Solve for x
    x = 131,098,744,393.74/302,602.80
  6. Step 6: Final answer
    x = 433,237.05

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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.