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Finding the Fourth Proportional to 460,597.71, 691,284.74 and 194,549.16

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Solution

The fourth proportional to 460,597.71, 691,284.74 and 194,549.16 is: 291,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,597.71 : 691,284.74 = 194,549.16 : x
  2. Step 2: Convert to fraction form
    460,597.71/691,284.74 = 194,549.16/x
  3. Step 3: Cross multiply
    460,597.71x = 691,284.74 × 194,549.16
  4. Step 4: Simplify right side
    460,597.71x = 134,488,865,487.82
  5. Step 5: Solve for x
    x = 134,488,865,487.82/460,597.71
  6. Step 6: Final answer
    x = 291,987.70

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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.