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Finding the Fourth Proportional to 429,394.56, 592,591.32 and 248,139.78

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Solution

The fourth proportional to 429,394.56, 592,591.32 and 248,139.78 is: 342,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,394.56 : 592,591.32 = 248,139.78 : x
  2. Step 2: Convert to fraction form
    429,394.56/592,591.32 = 248,139.78/x
  3. Step 3: Cross multiply
    429,394.56x = 592,591.32 × 248,139.78
  4. Step 4: Simplify right side
    429,394.56x = 147,045,479,774.71
  5. Step 5: Solve for x
    x = 147,045,479,774.71/429,394.56
  6. Step 6: Final answer
    x = 342,448.40

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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.