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Finding the Fourth Proportional to 367,099.98, 506,605.77 and 205,966.68

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Solution

The fourth proportional to 367,099.98, 506,605.77 and 205,966.68 is: 284,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099.98 : 506,605.77 = 205,966.68 : x
  2. Step 2: Convert to fraction form
    367,099.98/506,605.77 = 205,966.68/x
  3. Step 3: Cross multiply
    367,099.98x = 506,605.77 × 205,966.68
  4. Step 4: Simplify right side
    367,099.98x = 104,343,908,515.74
  5. Step 5: Solve for x
    x = 104,343,908,515.74/367,099.98
  6. Step 6: Final answer
    x = 284,238.39

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1.5x scale

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.