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Finding the Fourth Proportional to 583,114.13, 804,698.85 and 328,465.32

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Solution

The fourth proportional to 583,114.13, 804,698.85 and 328,465.32 is: 453,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,114.13 : 804,698.85 = 328,465.32 : x
  2. Step 2: Convert to fraction form
    583,114.13/804,698.85 = 328,465.32/x
  3. Step 3: Cross multiply
    583,114.13x = 804,698.85 × 328,465.32
  4. Step 4: Simplify right side
    583,114.13x = 264,315,665,268.88
  5. Step 5: Solve for x
    x = 264,315,665,268.88/583,114.13
  6. Step 6: Final answer
    x = 453,282.90

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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.