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Finding the Fourth Proportional to 460,818, 691,499.16 and 194,561.28

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Solution

The fourth proportional to 460,818, 691,499.16 and 194,561.28 is: 291,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,818 : 691,499.16 = 194,561.28 : x
  2. Step 2: Convert to fraction form
    460,818/691,499.16 = 194,561.28/x
  3. Step 3: Cross multiply
    460,818x = 691,499.16 × 194,561.28
  4. Step 4: Simplify right side
    460,818x = 134,538,961,688.53
  5. Step 5: Solve for x
    x = 134,538,961,688.53/460,818
  6. Step 6: Final answer
    x = 291,956.83

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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.