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Finding the Fourth Proportional to 320,347.01, 442,061.20 and 177,098.51

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Solution

The fourth proportional to 320,347.01, 442,061.20 and 177,098.51 is: 244,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,347.01 : 442,061.20 = 177,098.51 : x
  2. Step 2: Convert to fraction form
    320,347.01/442,061.20 = 177,098.51/x
  3. Step 3: Cross multiply
    320,347.01x = 442,061.20 × 177,098.51
  4. Step 4: Simplify right side
    320,347.01x = 78,288,379,848.81
  5. Step 5: Solve for x
    x = 78,288,379,848.81/320,347.01
  6. Step 6: Final answer
    x = 244,386.17

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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.