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Finding the Fourth Proportional to 305,412.03, 421,488.54 and 176,355.95

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Solution

The fourth proportional to 305,412.03, 421,488.54 and 176,355.95 is: 243,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412.03 : 421,488.54 = 176,355.95 : x
  2. Step 2: Convert to fraction form
    305,412.03/421,488.54 = 176,355.95/x
  3. Step 3: Cross multiply
    305,412.03x = 421,488.54 × 176,355.95
  4. Step 4: Simplify right side
    305,412.03x = 74,332,009,778.37
  5. Step 5: Solve for x
    x = 74,332,009,778.37/305,412.03
  6. Step 6: Final answer
    x = 243,382.72

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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.