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Finding the Fourth Proportional to 604,211.97, 833,834.47 and 346,138.80

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Solution

The fourth proportional to 604,211.97, 833,834.47 and 346,138.80 is: 477,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,211.97 : 833,834.47 = 346,138.80 : x
  2. Step 2: Convert to fraction form
    604,211.97/833,834.47 = 346,138.80/x
  3. Step 3: Cross multiply
    604,211.97x = 833,834.47 × 346,138.80
  4. Step 4: Simplify right side
    604,211.97x = 288,622,457,809.92
  5. Step 5: Solve for x
    x = 288,622,457,809.92/604,211.97
  6. Step 6: Final answer
    x = 477,684.11

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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.