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Finding the Fourth Proportional to 596,182.68, 894,274.52 and 146,903.60

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Solution

The fourth proportional to 596,182.68, 894,274.52 and 146,903.60 is: 220,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,182.68 : 894,274.52 = 146,903.60 : x
  2. Step 2: Convert to fraction form
    596,182.68/894,274.52 = 146,903.60/x
  3. Step 3: Cross multiply
    596,182.68x = 894,274.52 × 146,903.60
  4. Step 4: Simplify right side
    596,182.68x = 131,372,145,641.75
  5. Step 5: Solve for x
    x = 131,372,145,641.75/596,182.68
  6. Step 6: Final answer
    x = 220,355.52

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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.