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Finding the Fourth Proportional to 472,104.08, 708,266.76 and 187,810.76

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Solution

The fourth proportional to 472,104.08, 708,266.76 and 187,810.76 is: 281,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,104.08 : 708,266.76 = 187,810.76 : x
  2. Step 2: Convert to fraction form
    472,104.08/708,266.76 = 187,810.76/x
  3. Step 3: Cross multiply
    472,104.08x = 708,266.76 × 187,810.76
  4. Step 4: Simplify right side
    472,104.08x = 133,020,118,478.34
  5. Step 5: Solve for x
    x = 133,020,118,478.34/472,104.08
  6. Step 6: Final answer
    x = 281,760.15

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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.