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Finding the Fourth Proportional to 437,930.22, 656,603.64 and 157,411.02

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Solution

The fourth proportional to 437,930.22, 656,603.64 and 157,411.02 is: 236,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,930.22 : 656,603.64 = 157,411.02 : x
  2. Step 2: Convert to fraction form
    437,930.22/656,603.64 = 157,411.02/x
  3. Step 3: Cross multiply
    437,930.22x = 656,603.64 × 157,411.02
  4. Step 4: Simplify right side
    437,930.22x = 103,356,648,708.11
  5. Step 5: Solve for x
    x = 103,356,648,708.11/437,930.22
  6. Step 6: Final answer
    x = 236,011.68

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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.