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Finding the Fourth Proportional to 402,229.06, 602,424.66 and 192,014.62

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Solution

The fourth proportional to 402,229.06, 602,424.66 and 192,014.62 is: 287,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,229.06 : 602,424.66 = 192,014.62 : x
  2. Step 2: Convert to fraction form
    402,229.06/602,424.66 = 192,014.62/x
  3. Step 3: Cross multiply
    402,229.06x = 602,424.66 × 192,014.62
  4. Step 4: Simplify right side
    402,229.06x = 115,674,342,168.53
  5. Step 5: Solve for x
    x = 115,674,342,168.53/402,229.06
  6. Step 6: Final answer
    x = 287,583.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.