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Finding the Fourth Proportional to 357,752.80, 493,697.25 and 204,790.15

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Solution

The fourth proportional to 357,752.80, 493,697.25 and 204,790.15 is: 282,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,752.80 : 493,697.25 = 204,790.15 : x
  2. Step 2: Convert to fraction form
    357,752.80/493,697.25 = 204,790.15/x
  3. Step 3: Cross multiply
    357,752.80x = 493,697.25 × 204,790.15
  4. Step 4: Simplify right side
    357,752.80x = 101,104,333,686.66
  5. Step 5: Solve for x
    x = 101,104,333,686.66/357,752.80
  6. Step 6: Final answer
    x = 282,609.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.