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Finding the Fourth Proportional to 600,641.12, 829,069.26 and 346,161.80

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Solution

The fourth proportional to 600,641.12, 829,069.26 and 346,161.80 is: 477,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,641.12 : 829,069.26 = 346,161.80 : x
  2. Step 2: Convert to fraction form
    600,641.12/829,069.26 = 346,161.80/x
  3. Step 3: Cross multiply
    600,641.12x = 829,069.26 × 346,161.80
  4. Step 4: Simplify right side
    600,641.12x = 286,992,107,366.27
  5. Step 5: Solve for x
    x = 286,992,107,366.27/600,641.12
  6. Step 6: Final answer
    x = 477,809.62

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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.