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Finding the Fourth Proportional to 437,894.86, 656,446.94 and 157,346.50

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Solution

The fourth proportional to 437,894.86, 656,446.94 and 157,346.50 is: 235,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,894.86 : 656,446.94 = 157,346.50 : x
  2. Step 2: Convert to fraction form
    437,894.86/656,446.94 = 157,346.50/x
  3. Step 3: Cross multiply
    437,894.86x = 656,446.94 × 157,346.50
  4. Step 4: Simplify right side
    437,894.86x = 103,289,628,444.71
  5. Step 5: Solve for x
    x = 103,289,628,444.71/437,894.86
  6. Step 6: Final answer
    x = 235,877.69

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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.