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Finding the Fourth Proportional to 513,712.01, 770,376.44 and 176,657.24

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Solution

The fourth proportional to 513,712.01, 770,376.44 and 176,657.24 is: 264,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,712.01 : 770,376.44 = 176,657.24 : x
  2. Step 2: Convert to fraction form
    513,712.01/770,376.44 = 176,657.24/x
  3. Step 3: Cross multiply
    513,712.01x = 770,376.44 × 176,657.24
  4. Step 4: Simplify right side
    513,712.01x = 136,092,570,916.26
  5. Step 5: Solve for x
    x = 136,092,570,916.26/513,712.01
  6. Step 6: Final answer
    x = 264,919.97

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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.