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Finding the Fourth Proportional to 585,748.16, 878,641.59 and 201,493.16

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Solution

The fourth proportional to 585,748.16, 878,641.59 and 201,493.16 is: 302,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,748.16 : 878,641.59 = 201,493.16 : x
  2. Step 2: Convert to fraction form
    585,748.16/878,641.59 = 201,493.16/x
  3. Step 3: Cross multiply
    585,748.16x = 878,641.59 × 201,493.16
  4. Step 4: Simplify right side
    585,748.16x = 177,040,270,476.52
  5. Step 5: Solve for x
    x = 177,040,270,476.52/585,748.16
  6. Step 6: Final answer
    x = 302,246.40

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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.