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Finding the Fourth Proportional to 510,048.09, 703,864.49 and 283,693.59

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Solution

The fourth proportional to 510,048.09, 703,864.49 and 283,693.59 is: 391,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,048.09 : 703,864.49 = 283,693.59 : x
  2. Step 2: Convert to fraction form
    510,048.09/703,864.49 = 283,693.59/x
  3. Step 3: Cross multiply
    510,048.09x = 703,864.49 × 283,693.59
  4. Step 4: Simplify right side
    510,048.09x = 199,681,842,623.15
  5. Step 5: Solve for x
    x = 199,681,842,623.15/510,048.09
  6. Step 6: Final answer
    x = 391,496.11

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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.