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Finding the Fourth Proportional to 561,172.32, 841,758.48 and 206,032.68

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Solution

The fourth proportional to 561,172.32, 841,758.48 and 206,032.68 is: 309,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,172.32 : 841,758.48 = 206,032.68 : x
  2. Step 2: Convert to fraction form
    561,172.32/841,758.48 = 206,032.68/x
  3. Step 3: Cross multiply
    561,172.32x = 841,758.48 × 206,032.68
  4. Step 4: Simplify right side
    561,172.32x = 173,429,755,547.13
  5. Step 5: Solve for x
    x = 173,429,755,547.13/561,172.32
  6. Step 6: Final answer
    x = 309,049.02

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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.