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Finding the Fourth Proportional to 477,859.66, 659,446.43 and 260,069.18

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Solution

The fourth proportional to 477,859.66, 659,446.43 and 260,069.18 is: 358,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,859.66 : 659,446.43 = 260,069.18 : x
  2. Step 2: Convert to fraction form
    477,859.66/659,446.43 = 260,069.18/x
  3. Step 3: Cross multiply
    477,859.66x = 659,446.43 × 260,069.18
  4. Step 4: Simplify right side
    477,859.66x = 171,501,687,706.45
  5. Step 5: Solve for x
    x = 171,501,687,706.45/477,859.66
  6. Step 6: Final answer
    x = 358,895.51

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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.