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Finding the Fourth Proportional to 296,590.56, 409,302.47 and 181,932.42

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Solution

The fourth proportional to 296,590.56, 409,302.47 and 181,932.42 is: 251,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,590.56 : 409,302.47 = 181,932.42 : x
  2. Step 2: Convert to fraction form
    296,590.56/409,302.47 = 181,932.42/x
  3. Step 3: Cross multiply
    296,590.56x = 409,302.47 × 181,932.42
  4. Step 4: Simplify right side
    296,590.56x = 74,465,390,868.79
  5. Step 5: Solve for x
    x = 74,465,390,868.79/296,590.56
  6. Step 6: Final answer
    x = 251,071.35

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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.