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Finding the Fourth Proportional to 583,293.20, 805,049 and 341,561.66

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Solution

The fourth proportional to 583,293.20, 805,049 and 341,561.66 is: 471,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,293.20 : 805,049 = 341,561.66 : x
  2. Step 2: Convert to fraction form
    583,293.20/805,049 = 341,561.66/x
  3. Step 3: Cross multiply
    583,293.20x = 805,049 × 341,561.66
  4. Step 4: Simplify right side
    583,293.20x = 274,973,872,821.34
  5. Step 5: Solve for x
    x = 274,973,872,821.34/583,293.20
  6. Step 6: Final answer
    x = 471,416.22

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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.