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Finding the Fourth Proportional to 488,407.10, 732,574.20 and 204,024.20

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Solution

The fourth proportional to 488,407.10, 732,574.20 and 204,024.20 is: 306,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,407.10 : 732,574.20 = 204,024.20 : x
  2. Step 2: Convert to fraction form
    488,407.10/732,574.20 = 204,024.20/x
  3. Step 3: Cross multiply
    488,407.10x = 732,574.20 × 204,024.20
  4. Step 4: Simplify right side
    488,407.10x = 149,462,865,095.64
  5. Step 5: Solve for x
    x = 149,462,865,095.64/488,407.10
  6. Step 6: Final answer
    x = 306,021.07

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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.