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Finding the Fourth Proportional to 585,224, 877,836.42 and 141,992

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Solution

The fourth proportional to 585,224, 877,836.42 and 141,992 is: 212,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,224 : 877,836.42 = 141,992 : x
  2. Step 2: Convert to fraction form
    585,224/877,836.42 = 141,992/x
  3. Step 3: Cross multiply
    585,224x = 877,836.42 × 141,992
  4. Step 4: Simplify right side
    585,224x = 124,645,748,948.64
  5. Step 5: Solve for x
    x = 124,645,748,948.64/585,224
  6. Step 6: Final answer
    x = 212,988.10

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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.