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Finding the Fourth Proportional to 514,621.74, 772,007.04 and 194,686.86

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Solution

The fourth proportional to 514,621.74, 772,007.04 and 194,686.86 is: 292,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,621.74 : 772,007.04 = 194,686.86 : x
  2. Step 2: Convert to fraction form
    514,621.74/772,007.04 = 194,686.86/x
  3. Step 3: Cross multiply
    514,621.74x = 772,007.04 × 194,686.86
  4. Step 4: Simplify right side
    514,621.74x = 150,299,626,515.49
  5. Step 5: Solve for x
    x = 150,299,626,515.49/514,621.74
  6. Step 6: Final answer
    x = 292,058.45

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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.