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Finding the Fourth Proportional to 328,182.52, 492,273.73 and 78,864.52

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Solution

The fourth proportional to 328,182.52, 492,273.73 and 78,864.52 is: 118,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,182.52 : 492,273.73 = 78,864.52 : x
  2. Step 2: Convert to fraction form
    328,182.52/492,273.73 = 78,864.52/x
  3. Step 3: Cross multiply
    328,182.52x = 492,273.73 × 78,864.52
  4. Step 4: Simplify right side
    328,182.52x = 38,822,931,030.74
  5. Step 5: Solve for x
    x = 38,822,931,030.74/328,182.52
  6. Step 6: Final answer
    x = 118,296.77

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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.