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Finding the Fourth Proportional to 384,095.59, 575,818.03 and 159,315.73

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Solution

The fourth proportional to 384,095.59, 575,818.03 and 159,315.73 is: 238,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,095.59 : 575,818.03 = 159,315.73 : x
  2. Step 2: Convert to fraction form
    384,095.59/575,818.03 = 159,315.73/x
  3. Step 3: Cross multiply
    384,095.59x = 575,818.03 × 159,315.73
  4. Step 4: Simplify right side
    384,095.59x = 91,736,868,556.21
  5. Step 5: Solve for x
    x = 91,736,868,556.21/384,095.59
  6. Step 6: Final answer
    x = 238,838.64

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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.