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Finding the Fourth Proportional to 301,061.66, 450,706.76 and 200,973.61

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Solution

The fourth proportional to 301,061.66, 450,706.76 and 200,973.61 is: 300,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,061.66 : 450,706.76 = 200,973.61 : x
  2. Step 2: Convert to fraction form
    301,061.66/450,706.76 = 200,973.61/x
  3. Step 3: Cross multiply
    301,061.66x = 450,706.76 × 200,973.61
  4. Step 4: Simplify right side
    301,061.66x = 90,580,161,820.31
  5. Step 5: Solve for x
    x = 90,580,161,820.31/301,061.66
  6. Step 6: Final answer
    x = 300,869.14

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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.