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Finding the Fourth Proportional to 585,291.82, 877,260.02 and 269,085.10

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Solution

The fourth proportional to 585,291.82, 877,260.02 and 269,085.10 is: 403,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,291.82 : 877,260.02 = 269,085.10 : x
  2. Step 2: Convert to fraction form
    585,291.82/877,260.02 = 269,085.10/x
  3. Step 3: Cross multiply
    585,291.82x = 877,260.02 × 269,085.10
  4. Step 4: Simplify right side
    585,291.82x = 236,057,600,207.70
  5. Step 5: Solve for x
    x = 236,057,600,207.70/585,291.82
  6. Step 6: Final answer
    x = 403,316.08

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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.