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Finding the Fourth Proportional to 298,812.32, 412,353.40 and 162,849.76

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Solution

The fourth proportional to 298,812.32, 412,353.40 and 162,849.76 is: 224,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.32 : 412,353.40 = 162,849.76 : x
  2. Step 2: Convert to fraction form
    298,812.32/412,353.40 = 162,849.76/x
  3. Step 3: Cross multiply
    298,812.32x = 412,353.40 × 162,849.76
  4. Step 4: Simplify right side
    298,812.32x = 67,151,652,225.18
  5. Step 5: Solve for x
    x = 67,151,652,225.18/298,812.32
  6. Step 6: Final answer
    x = 224,728.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.