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Finding the Fourth Proportional to 457,492.08, 686,106.92 and 157,894.96

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Solution

The fourth proportional to 457,492.08, 686,106.92 and 157,894.96 is: 236,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,492.08 : 686,106.92 = 157,894.96 : x
  2. Step 2: Convert to fraction form
    457,492.08/686,106.92 = 157,894.96/x
  3. Step 3: Cross multiply
    457,492.08x = 686,106.92 × 157,894.96
  4. Step 4: Simplify right side
    457,492.08x = 108,332,824,689.12
  5. Step 5: Solve for x
    x = 108,332,824,689.12/457,492.08
  6. Step 6: Final answer
    x = 236,797.16

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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.