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Finding the Fourth Proportional to 517,963.74, 715,195.35 and 405,108.06

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Solution

The fourth proportional to 517,963.74, 715,195.35 and 405,108.06 is: 559,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,963.74 : 715,195.35 = 405,108.06 : x
  2. Step 2: Convert to fraction form
    517,963.74/715,195.35 = 405,108.06/x
  3. Step 3: Cross multiply
    517,963.74x = 715,195.35 × 405,108.06
  4. Step 4: Simplify right side
    517,963.74x = 289,731,400,759.52
  5. Step 5: Solve for x
    x = 289,731,400,759.52/517,963.74
  6. Step 6: Final answer
    x = 559,366.18

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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.