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Finding the Fourth Proportional to 401,295.80, 602,048.10 and 116,979.92

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Solution

The fourth proportional to 401,295.80, 602,048.10 and 116,979.92 is: 175,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,295.80 : 602,048.10 = 116,979.92 : x
  2. Step 2: Convert to fraction form
    401,295.80/602,048.10 = 116,979.92/x
  3. Step 3: Cross multiply
    401,295.80x = 602,048.10 × 116,979.92
  4. Step 4: Simplify right side
    401,295.80x = 70,427,538,574.15
  5. Step 5: Solve for x
    x = 70,427,538,574.15/401,295.80
  6. Step 6: Final answer
    x = 175,500.31

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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.