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Finding the Fourth Proportional to 307,478.48, 424,320.96 and 171,508.94

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Solution

The fourth proportional to 307,478.48, 424,320.96 and 171,508.94 is: 236,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,478.48 : 424,320.96 = 171,508.94 : x
  2. Step 2: Convert to fraction form
    307,478.48/424,320.96 = 171,508.94/x
  3. Step 3: Cross multiply
    307,478.48x = 424,320.96 × 171,508.94
  4. Step 4: Simplify right side
    307,478.48x = 72,774,838,069.38
  5. Step 5: Solve for x
    x = 72,774,838,069.38/307,478.48
  6. Step 6: Final answer
    x = 236,682.70

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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.