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Finding the Fourth Proportional to 374,564.57, 516,899.10 and 204,798.69

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Solution

The fourth proportional to 374,564.57, 516,899.10 and 204,798.69 is: 282,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,564.57 : 516,899.10 = 204,798.69 : x
  2. Step 2: Convert to fraction form
    374,564.57/516,899.10 = 204,798.69/x
  3. Step 3: Cross multiply
    374,564.57x = 516,899.10 × 204,798.69
  4. Step 4: Simplify right side
    374,564.57x = 105,860,258,542.18
  5. Step 5: Solve for x
    x = 105,860,258,542.18/374,564.57
  6. Step 6: Final answer
    x = 282,622.19

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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.