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Finding the Fourth Proportional to 590,291.79, 814,598.91 and 335,643

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Solution

The fourth proportional to 590,291.79, 814,598.91 and 335,643 is: 463,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,291.79 : 814,598.91 = 335,643 : x
  2. Step 2: Convert to fraction form
    590,291.79/814,598.91 = 335,643/x
  3. Step 3: Cross multiply
    590,291.79x = 814,598.91 × 335,643
  4. Step 4: Simplify right side
    590,291.79x = 273,414,421,949.13
  5. Step 5: Solve for x
    x = 273,414,421,949.13/590,291.79
  6. Step 6: Final answer
    x = 463,185.20

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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.