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Finding the Fourth Proportional to 385,818.90, 532,458.06 and 232,894.26

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Solution

The fourth proportional to 385,818.90, 532,458.06 and 232,894.26 is: 321,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,818.90 : 532,458.06 = 232,894.26 : x
  2. Step 2: Convert to fraction form
    385,818.90/532,458.06 = 232,894.26/x
  3. Step 3: Cross multiply
    385,818.90x = 532,458.06 × 232,894.26
  4. Step 4: Simplify right side
    385,818.90x = 124,006,425,864.74
  5. Step 5: Solve for x
    x = 124,006,425,864.74/385,818.90
  6. Step 6: Final answer
    x = 321,410.97

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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.