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Finding the Fourth Proportional to 585,849, 878,457.34 and 265,826.28

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Solution

The fourth proportional to 585,849, 878,457.34 and 265,826.28 is: 398,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,849 : 878,457.34 = 265,826.28 : x
  2. Step 2: Convert to fraction form
    585,849/878,457.34 = 265,826.28/x
  3. Step 3: Cross multiply
    585,849x = 878,457.34 × 265,826.28
  4. Step 4: Simplify right side
    585,849x = 233,517,046,830.90
  5. Step 5: Solve for x
    x = 233,517,046,830.90/585,849
  6. Step 6: Final answer
    x = 398,595.96

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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.