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Finding the Fourth Proportional to 590,126.16, 814,445.64 and 335,539.92

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Solution

The fourth proportional to 590,126.16, 814,445.64 and 335,539.92 is: 463,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,126.16 : 814,445.64 = 335,539.92 : x
  2. Step 2: Convert to fraction form
    590,126.16/814,445.64 = 335,539.92/x
  3. Step 3: Cross multiply
    590,126.16x = 814,445.64 × 335,539.92
  4. Step 4: Simplify right side
    590,126.16x = 273,279,024,889.95
  5. Step 5: Solve for x
    x = 273,279,024,889.95/590,126.16
  6. Step 6: Final answer
    x = 463,085.77

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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.