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Finding the Fourth Proportional to 517,657.53, 776,564.64 and 162,638.13

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Solution

The fourth proportional to 517,657.53, 776,564.64 and 162,638.13 is: 243,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,657.53 : 776,564.64 = 162,638.13 : x
  2. Step 2: Convert to fraction form
    517,657.53/776,564.64 = 162,638.13/x
  3. Step 3: Cross multiply
    517,657.53x = 776,564.64 × 162,638.13
  4. Step 4: Simplify right side
    517,657.53x = 126,299,020,873.72
  5. Step 5: Solve for x
    x = 126,299,020,873.72/517,657.53
  6. Step 6: Final answer
    x = 243,981.81

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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.