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Finding the Fourth Proportional to 429,059, 592,129.71 and 247,778.54

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Solution

The fourth proportional to 429,059, 592,129.71 and 247,778.54 is: 341,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,059 : 592,129.71 = 247,778.54 : x
  2. Step 2: Convert to fraction form
    429,059/592,129.71 = 247,778.54/x
  3. Step 3: Cross multiply
    429,059x = 592,129.71 × 247,778.54
  4. Step 4: Simplify right side
    429,059x = 146,717,035,034.42
  5. Step 5: Solve for x
    x = 146,717,035,034.42/429,059
  6. Step 6: Final answer
    x = 341,950.72

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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.