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Finding the Fourth Proportional to 834,216, 1,151,211.24 and 452,232.96

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Solution

The fourth proportional to 834,216, 1,151,211.24 and 452,232.96 is: 624,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,216 : 1,151,211.24 = 452,232.96 : x
  2. Step 2: Convert to fraction form
    834,216/1,151,211.24 = 452,232.96/x
  3. Step 3: Cross multiply
    834,216x = 1,151,211.24 × 452,232.96
  4. Step 4: Simplify right side
    834,216x = 520,615,666,650.47
  5. Step 5: Solve for x
    x = 520,615,666,650.47/834,216
  6. Step 6: Final answer
    x = 624,077.78

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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.