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Finding the Fourth Proportional to 364,410.03, 502,908.37 and 201,065.74

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Solution

The fourth proportional to 364,410.03, 502,908.37 and 201,065.74 is: 277,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,410.03 : 502,908.37 = 201,065.74 : x
  2. Step 2: Convert to fraction form
    364,410.03/502,908.37 = 201,065.74/x
  3. Step 3: Cross multiply
    364,410.03x = 502,908.37 × 201,065.74
  4. Step 4: Simplify right side
    364,410.03x = 101,117,641,806.31
  5. Step 5: Solve for x
    x = 101,117,641,806.31/364,410.03
  6. Step 6: Final answer
    x = 277,483.15

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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.