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Finding the Fourth Proportional to 437,683.80, 656,430.93 and 117,827.76

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Solution

The fourth proportional to 437,683.80, 656,430.93 and 117,827.76 is: 176,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,683.80 : 656,430.93 = 117,827.76 : x
  2. Step 2: Convert to fraction form
    437,683.80/656,430.93 = 117,827.76/x
  3. Step 3: Cross multiply
    437,683.80x = 656,430.93 × 117,827.76
  4. Step 4: Simplify right side
    437,683.80x = 77,345,786,076.62
  5. Step 5: Solve for x
    x = 77,345,786,076.62/437,683.80
  6. Step 6: Final answer
    x = 176,716.13

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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.