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Finding the Fourth Proportional to 589,881, 884,824.80 and 146,649

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Solution

The fourth proportional to 589,881, 884,824.80 and 146,649 is: 219,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,881 : 884,824.80 = 146,649 : x
  2. Step 2: Convert to fraction form
    589,881/884,824.80 = 146,649/x
  3. Step 3: Cross multiply
    589,881x = 884,824.80 × 146,649
  4. Step 4: Simplify right side
    589,881x = 129,758,672,095.20
  5. Step 5: Solve for x
    x = 129,758,672,095.20/589,881
  6. Step 6: Final answer
    x = 219,974.32

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1.5x scale

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.