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Finding the Fourth Proportional to 583,053.63, 804,641.40 and 341,414.05

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Solution

The fourth proportional to 583,053.63, 804,641.40 and 341,414.05 is: 471,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,053.63 : 804,641.40 = 341,414.05 : x
  2. Step 2: Convert to fraction form
    583,053.63/804,641.40 = 341,414.05/x
  3. Step 3: Cross multiply
    583,053.63x = 804,641.40 × 341,414.05
  4. Step 4: Simplify right side
    583,053.63x = 274,715,879,171.67
  5. Step 5: Solve for x
    x = 274,715,879,171.67/583,053.63
  6. Step 6: Final answer
    x = 471,167.43

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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.