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Finding the Fourth Proportional to 585,078, 877,617.12 and 141,846

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Solution

The fourth proportional to 585,078, 877,617.12 and 141,846 is: 212,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,078 : 877,617.12 = 141,846 : x
  2. Step 2: Convert to fraction form
    585,078/877,617.12 = 141,846/x
  3. Step 3: Cross multiply
    585,078x = 877,617.12 × 141,846
  4. Step 4: Simplify right side
    585,078x = 124,486,478,003.52
  5. Step 5: Solve for x
    x = 124,486,478,003.52/585,078
  6. Step 6: Final answer
    x = 212,769.03

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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.