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Finding the Fourth Proportional to 600,639.12, 829,066.50 and 346,159.80

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Solution

The fourth proportional to 600,639.12, 829,066.50 and 346,159.80 is: 477,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,639.12 : 829,066.50 = 346,159.80 : x
  2. Step 2: Convert to fraction form
    600,639.12/829,066.50 = 346,159.80/x
  3. Step 3: Cross multiply
    600,639.12x = 829,066.50 × 346,159.80
  4. Step 4: Simplify right side
    600,639.12x = 286,989,493,826.70
  5. Step 5: Solve for x
    x = 286,989,493,826.70/600,639.12
  6. Step 6: Final answer
    x = 477,806.86

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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.