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Finding the Fourth Proportional to 460,984, 691,748.16 and 194,727.28

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Solution

The fourth proportional to 460,984, 691,748.16 and 194,727.28 is: 292,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,984 : 691,748.16 = 194,727.28 : x
  2. Step 2: Convert to fraction form
    460,984/691,748.16 = 194,727.28/x
  3. Step 3: Cross multiply
    460,984x = 691,748.16 × 194,727.28
  4. Step 4: Simplify right side
    460,984x = 134,702,237,641.81
  5. Step 5: Solve for x
    x = 134,702,237,641.81/460,984
  6. Step 6: Final answer
    x = 292,205.88

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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.