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Finding the Fourth Proportional to 472,725.96, 709,095.11 and 157,182.87

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Solution

The fourth proportional to 472,725.96, 709,095.11 and 157,182.87 is: 235,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,725.96 : 709,095.11 = 157,182.87 : x
  2. Step 2: Convert to fraction form
    472,725.96/709,095.11 = 157,182.87/x
  3. Step 3: Cross multiply
    472,725.96x = 709,095.11 × 157,182.87
  4. Step 4: Simplify right side
    472,725.96x = 111,457,604,492.77
  5. Step 5: Solve for x
    x = 111,457,604,492.77/472,725.96
  6. Step 6: Final answer
    x = 235,776.36

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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.