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Finding the Fourth Proportional to 293,266.90, 439,812.60 and 152,948.98

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Solution

The fourth proportional to 293,266.90, 439,812.60 and 152,948.98 is: 229,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,266.90 : 439,812.60 = 152,948.98 : x
  2. Step 2: Convert to fraction form
    293,266.90/439,812.60 = 152,948.98/x
  3. Step 3: Cross multiply
    293,266.90x = 439,812.60 × 152,948.98
  4. Step 4: Simplify right side
    293,266.90x = 67,268,888,561.15
  5. Step 5: Solve for x
    x = 67,268,888,561.15/293,266.90
  6. Step 6: Final answer
    x = 229,377.71

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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.