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Finding the Fourth Proportional to 463,546.73, 695,427.93 and 143,681.63

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Solution

The fourth proportional to 463,546.73, 695,427.93 and 143,681.63 is: 215,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,546.73 : 695,427.93 = 143,681.63 : x
  2. Step 2: Convert to fraction form
    463,546.73/695,427.93 = 143,681.63/x
  3. Step 3: Cross multiply
    463,546.73x = 695,427.93 × 143,681.63
  4. Step 4: Simplify right side
    463,546.73x = 99,920,218,529.93
  5. Step 5: Solve for x
    x = 99,920,218,529.93/463,546.73
  6. Step 6: Final answer
    x = 215,555.87

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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.