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Finding the Fourth Proportional to 463,546.79, 695,428.02 and 143,681.69

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Solution

The fourth proportional to 463,546.79, 695,428.02 and 143,681.69 is: 215,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,546.79 : 695,428.02 = 143,681.69 : x
  2. Step 2: Convert to fraction form
    463,546.79/695,428.02 = 143,681.69/x
  3. Step 3: Cross multiply
    463,546.79x = 695,428.02 × 143,681.69
  4. Step 4: Simplify right side
    463,546.79x = 99,920,274,925.52
  5. Step 5: Solve for x
    x = 99,920,274,925.52/463,546.79
  6. Step 6: Final answer
    x = 215,555.96

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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.