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Finding the Fourth Proportional to 343,035.93, 514,603.71 and 106,397.67

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Solution

The fourth proportional to 343,035.93, 514,603.71 and 106,397.67 is: 159,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,035.93 : 514,603.71 = 106,397.67 : x
  2. Step 2: Convert to fraction form
    343,035.93/514,603.71 = 106,397.67/x
  3. Step 3: Cross multiply
    343,035.93x = 514,603.71 × 106,397.67
  4. Step 4: Simplify right side
    343,035.93x = 54,752,635,717.36
  5. Step 5: Solve for x
    x = 54,752,635,717.36/343,035.93
  6. Step 6: Final answer
    x = 159,611.96

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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.