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Finding the Fourth Proportional to 509,547.20, 764,320.80 and 288,363.20

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Solution

The fourth proportional to 509,547.20, 764,320.80 and 288,363.20 is: 432,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,547.20 : 764,320.80 = 288,363.20 : x
  2. Step 2: Convert to fraction form
    509,547.20/764,320.80 = 288,363.20/x
  3. Step 3: Cross multiply
    509,547.20x = 764,320.80 × 288,363.20
  4. Step 4: Simplify right side
    509,547.20x = 220,401,991,714.56
  5. Step 5: Solve for x
    x = 220,401,991,714.56/509,547.20
  6. Step 6: Final answer
    x = 432,544.80

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Similar ratio
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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.