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Finding the Fourth Proportional to 262,263.16, 361,574.76 and 171,463.02

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Solution

The fourth proportional to 262,263.16, 361,574.76 and 171,463.02 is: 236,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,263.16 : 361,574.76 = 171,463.02 : x
  2. Step 2: Convert to fraction form
    262,263.16/361,574.76 = 171,463.02/x
  3. Step 3: Cross multiply
    262,263.16x = 361,574.76 × 171,463.02
  4. Step 4: Simplify right side
    262,263.16x = 61,996,701,626.31
  5. Step 5: Solve for x
    x = 61,996,701,626.31/262,263.16
  6. Step 6: Final answer
    x = 236,391.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.