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Finding the Fourth Proportional to 600,858.22, 829,275.42 and 342,733.90

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Solution

The fourth proportional to 600,858.22, 829,275.42 and 342,733.90 is: 473,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,858.22 : 829,275.42 = 342,733.90 : x
  2. Step 2: Convert to fraction form
    600,858.22/829,275.42 = 342,733.90/x
  3. Step 3: Cross multiply
    600,858.22x = 829,275.42 × 342,733.90
  4. Step 4: Simplify right side
    600,858.22x = 284,220,798,870.74
  5. Step 5: Solve for x
    x = 284,220,798,870.74/600,858.22
  6. Step 6: Final answer
    x = 473,024.73

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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.