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Finding the Fourth Proportional to 804,454.53, 1,206,681.06 and 205,415.79

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Solution

The fourth proportional to 804,454.53, 1,206,681.06 and 205,415.79 is: 308,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,454.53 : 1,206,681.06 = 205,415.79 : x
  2. Step 2: Convert to fraction form
    804,454.53/1,206,681.06 = 205,415.79/x
  3. Step 3: Cross multiply
    804,454.53x = 1,206,681.06 × 205,415.79
  4. Step 4: Simplify right side
    804,454.53x = 247,871,343,217.94
  5. Step 5: Solve for x
    x = 247,871,343,217.94/804,454.53
  6. Step 6: Final answer
    x = 308,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.