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Finding the Fourth Proportional to 294,512.42, 406,417.98 and 173,661.20

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Solution

The fourth proportional to 294,512.42, 406,417.98 and 173,661.20 is: 239,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,512.42 : 406,417.98 = 173,661.20 : x
  2. Step 2: Convert to fraction form
    294,512.42/406,417.98 = 173,661.20/x
  3. Step 3: Cross multiply
    294,512.42x = 406,417.98 × 173,661.20
  4. Step 4: Simplify right side
    294,512.42x = 70,579,034,108.38
  5. Step 5: Solve for x
    x = 70,579,034,108.38/294,512.42
  6. Step 6: Final answer
    x = 239,647.05

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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.