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Finding the Fourth Proportional to 456,097.80, 683,109.90 and 288,136.20

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Solution

The fourth proportional to 456,097.80, 683,109.90 and 288,136.20 is: 431,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,097.80 : 683,109.90 = 288,136.20 : x
  2. Step 2: Convert to fraction form
    456,097.80/683,109.90 = 288,136.20/x
  3. Step 3: Cross multiply
    456,097.80x = 683,109.90 × 288,136.20
  4. Step 4: Simplify right side
    456,097.80x = 196,828,690,768.38
  5. Step 5: Solve for x
    x = 196,828,690,768.38/456,097.80
  6. Step 6: Final answer
    x = 431,549.31

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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.