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Finding the Fourth Proportional to 536,502.80, 804,756 and 199,617.68

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Solution

The fourth proportional to 536,502.80, 804,756 and 199,617.68 is: 299,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,502.80 : 804,756 = 199,617.68 : x
  2. Step 2: Convert to fraction form
    536,502.80/804,756 = 199,617.68/x
  3. Step 3: Cross multiply
    536,502.80x = 804,756 × 199,617.68
  4. Step 4: Simplify right side
    536,502.80x = 160,643,525,686.08
  5. Step 5: Solve for x
    x = 160,643,525,686.08/536,502.80
  6. Step 6: Final answer
    x = 299,427.19

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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.