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Finding the Fourth Proportional to 514,342.01, 771,296.61 and 194,440.07

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Solution

The fourth proportional to 514,342.01, 771,296.61 and 194,440.07 is: 291,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,342.01 : 771,296.61 = 194,440.07 : x
  2. Step 2: Convert to fraction form
    514,342.01/771,296.61 = 194,440.07/x
  3. Step 3: Cross multiply
    514,342.01x = 771,296.61 × 194,440.07
  4. Step 4: Simplify right side
    514,342.01x = 149,970,966,839.16
  5. Step 5: Solve for x
    x = 149,970,966,839.16/514,342.01
  6. Step 6: Final answer
    x = 291,578.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.