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Finding the Fourth Proportional to 474,406.13, 654,669.22 and 259,547.96

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Solution

The fourth proportional to 474,406.13, 654,669.22 and 259,547.96 is: 358,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,406.13 : 654,669.22 = 259,547.96 : x
  2. Step 2: Convert to fraction form
    474,406.13/654,669.22 = 259,547.96/x
  3. Step 3: Cross multiply
    474,406.13x = 654,669.22 × 259,547.96
  4. Step 4: Simplify right side
    474,406.13x = 169,918,062,000.25
  5. Step 5: Solve for x
    x = 169,918,062,000.25/474,406.13
  6. Step 6: Final answer
    x = 358,170.04

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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.