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Finding the Fourth Proportional to 456,898.50, 685,587.51 and 187,226.82

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Solution

The fourth proportional to 456,898.50, 685,587.51 and 187,226.82 is: 280,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,898.50 : 685,587.51 = 187,226.82 : x
  2. Step 2: Convert to fraction form
    456,898.50/685,587.51 = 187,226.82/x
  3. Step 3: Cross multiply
    456,898.50x = 685,587.51 × 187,226.82
  4. Step 4: Simplify right side
    456,898.50x = 128,360,369,329.02
  5. Step 5: Solve for x
    x = 128,360,369,329.02/456,898.50
  6. Step 6: Final answer
    x = 280,938.48

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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.