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Finding the Fourth Proportional to 374,192.88, 516,386.52 and 204,429.84

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Solution

The fourth proportional to 374,192.88, 516,386.52 and 204,429.84 is: 282,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,192.88 : 516,386.52 = 204,429.84 : x
  2. Step 2: Convert to fraction form
    374,192.88/516,386.52 = 204,429.84/x
  3. Step 3: Cross multiply
    374,192.88x = 516,386.52 × 204,429.84
  4. Step 4: Simplify right side
    374,192.88x = 105,564,813,661.76
  5. Step 5: Solve for x
    x = 105,564,813,661.76/374,192.88
  6. Step 6: Final answer
    x = 282,113.37

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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.