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Finding the Fourth Proportional to 301,663.04, 416,488.38 and 269,341.88

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Solution

The fourth proportional to 301,663.04, 416,488.38 and 269,341.88 is: 371,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,663.04 : 416,488.38 = 269,341.88 : x
  2. Step 2: Convert to fraction form
    301,663.04/416,488.38 = 269,341.88/x
  3. Step 3: Cross multiply
    301,663.04x = 416,488.38 × 269,341.88
  4. Step 4: Simplify right side
    301,663.04x = 112,177,763,267.35
  5. Step 5: Solve for x
    x = 112,177,763,267.35/301,663.04
  6. Step 6: Final answer
    x = 371,864.46

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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.