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Finding the Fourth Proportional to 514,113, 770,956.62 and 194,210.29

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Solution

The fourth proportional to 514,113, 770,956.62 and 194,210.29 is: 291,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,113 : 770,956.62 = 194,210.29 : x
  2. Step 2: Convert to fraction form
    514,113/770,956.62 = 194,210.29/x
  3. Step 3: Cross multiply
    514,113x = 770,956.62 × 194,210.29
  4. Step 4: Simplify right side
    514,113x = 149,727,708,747.62
  5. Step 5: Solve for x
    x = 149,727,708,747.62/514,113
  6. Step 6: Final answer
    x = 291,235.02

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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.