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Finding the Fourth Proportional to 473,985.76, 654,100.32 and 259,126.72

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Solution

The fourth proportional to 473,985.76, 654,100.32 and 259,126.72 is: 357,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,985.76 : 654,100.32 = 259,126.72 : x
  2. Step 2: Convert to fraction form
    473,985.76/654,100.32 = 259,126.72/x
  3. Step 3: Cross multiply
    473,985.76x = 654,100.32 × 259,126.72
  4. Step 4: Simplify right side
    473,985.76x = 169,494,870,472.55
  5. Step 5: Solve for x
    x = 169,494,870,472.55/473,985.76
  6. Step 6: Final answer
    x = 357,594.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.