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Finding the Fourth Proportional to 384,718.32, 577,124.10 and 160,230.96

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Solution

The fourth proportional to 384,718.32, 577,124.10 and 160,230.96 is: 240,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,718.32 : 577,124.10 = 160,230.96 : x
  2. Step 2: Convert to fraction form
    384,718.32/577,124.10 = 160,230.96/x
  3. Step 3: Cross multiply
    384,718.32x = 577,124.10 × 160,230.96
  4. Step 4: Simplify right side
    384,718.32x = 92,473,148,582.14
  5. Step 5: Solve for x
    x = 92,473,148,582.14/384,718.32
  6. Step 6: Final answer
    x = 240,365.86

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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.