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Finding the Fourth Proportional to 367,780.50, 507,533.58 and 204,432.72

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Solution

The fourth proportional to 367,780.50, 507,533.58 and 204,432.72 is: 282,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780.50 : 507,533.58 = 204,432.72 : x
  2. Step 2: Convert to fraction form
    367,780.50/507,533.58 = 204,432.72/x
  3. Step 3: Cross multiply
    367,780.50x = 507,533.58 × 204,432.72
  4. Step 4: Simplify right side
    367,780.50x = 103,756,470,250.74
  5. Step 5: Solve for x
    x = 103,756,470,250.74/367,780.50
  6. Step 6: Final answer
    x = 282,115.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.