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Finding the Fourth Proportional to 363,324, 545,073.54 and 114,006

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Solution

The fourth proportional to 363,324, 545,073.54 and 114,006 is: 171,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,324 : 545,073.54 = 114,006 : x
  2. Step 2: Convert to fraction form
    363,324/545,073.54 = 114,006/x
  3. Step 3: Cross multiply
    363,324x = 545,073.54 × 114,006
  4. Step 4: Simplify right side
    363,324x = 62,141,654,001.24
  5. Step 5: Solve for x
    x = 62,141,654,001.24/363,324
  6. Step 6: Final answer
    x = 171,036.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.