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Finding the Fourth Proportional to 525,805.88, 725,612.11 and 284,088.51

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Solution

The fourth proportional to 525,805.88, 725,612.11 and 284,088.51 is: 392,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,805.88 : 725,612.11 = 284,088.51 : x
  2. Step 2: Convert to fraction form
    525,805.88/725,612.11 = 284,088.51/x
  3. Step 3: Cross multiply
    525,805.88x = 725,612.11 × 284,088.51
  4. Step 4: Simplify right side
    525,805.88x = 206,138,062,457.64
  5. Step 5: Solve for x
    x = 206,138,062,457.64/525,805.88
  6. Step 6: Final answer
    x = 392,042.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.