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Finding the Fourth Proportional to 437,856.42, 656,812.32 and 185,089.80

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Solution

The fourth proportional to 437,856.42, 656,812.32 and 185,089.80 is: 277,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,856.42 : 656,812.32 = 185,089.80 : x
  2. Step 2: Convert to fraction form
    437,856.42/656,812.32 = 185,089.80/x
  3. Step 3: Cross multiply
    437,856.42x = 656,812.32 × 185,089.80
  4. Step 4: Simplify right side
    437,856.42x = 121,569,260,946.34
  5. Step 5: Solve for x
    x = 121,569,260,946.34/437,856.42
  6. Step 6: Final answer
    x = 277,646.41

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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.