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Finding the Fourth Proportional to 209,790, 314,738.28 and 62,046

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Solution

The fourth proportional to 209,790, 314,738.28 and 62,046 is: 93,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790 : 314,738.28 = 62,046 : x
  2. Step 2: Convert to fraction form
    209,790/314,738.28 = 62,046/x
  3. Step 3: Cross multiply
    209,790x = 314,738.28 × 62,046
  4. Step 4: Simplify right side
    209,790x = 19,528,251,320.88
  5. Step 5: Solve for x
    x = 19,528,251,320.88/209,790
  6. Step 6: Final answer
    x = 93,084.76

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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.