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Finding the Fourth Proportional to 460,034.94, 690,117.21 and 160,471.83

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Solution

The fourth proportional to 460,034.94, 690,117.21 and 160,471.83 is: 240,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,034.94 : 690,117.21 = 160,471.83 : x
  2. Step 2: Convert to fraction form
    460,034.94/690,117.21 = 160,471.83/x
  3. Step 3: Cross multiply
    460,034.94x = 690,117.21 × 160,471.83
  4. Step 4: Simplify right side
    460,034.94x = 110,744,371,603.19
  5. Step 5: Solve for x
    x = 110,744,371,603.19/460,034.94
  6. Step 6: Final answer
    x = 240,730.35

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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.