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Finding the Fourth Proportional to 524,659.20, 787,312.80 and 209,083.20

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Solution

The fourth proportional to 524,659.20, 787,312.80 and 209,083.20 is: 313,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,659.20 : 787,312.80 = 209,083.20 : x
  2. Step 2: Convert to fraction form
    524,659.20/787,312.80 = 209,083.20/x
  3. Step 3: Cross multiply
    524,659.20x = 787,312.80 × 209,083.20
  4. Step 4: Simplify right side
    524,659.20x = 164,613,879,624.96
  5. Step 5: Solve for x
    x = 164,613,879,624.96/524,659.20
  6. Step 6: Final answer
    x = 313,753.92

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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.