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Finding the Fourth Proportional to 590,294.79, 814,603.05 and 335,646

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Solution

The fourth proportional to 590,294.79, 814,603.05 and 335,646 is: 463,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,294.79 : 814,603.05 = 335,646 : x
  2. Step 2: Convert to fraction form
    590,294.79/814,603.05 = 335,646/x
  3. Step 3: Cross multiply
    590,294.79x = 814,603.05 × 335,646
  4. Step 4: Simplify right side
    590,294.79x = 273,418,255,320.30
  5. Step 5: Solve for x
    x = 273,418,255,320.30/590,294.79
  6. Step 6: Final answer
    x = 463,189.34

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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.