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Finding the Fourth Proportional to 369,603.96, 510,052.50 and 199,838.04

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Solution

The fourth proportional to 369,603.96, 510,052.50 and 199,838.04 is: 275,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,603.96 : 510,052.50 = 199,838.04 : x
  2. Step 2: Convert to fraction form
    369,603.96/510,052.50 = 199,838.04/x
  3. Step 3: Cross multiply
    369,603.96x = 510,052.50 × 199,838.04
  4. Step 4: Simplify right side
    369,603.96x = 101,927,891,897.10
  5. Step 5: Solve for x
    x = 101,927,891,897.10/369,603.96
  6. Step 6: Final answer
    x = 275,775.97

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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.