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Finding the Fourth Proportional to 507,384.41, 700,201.67 and 289,588.77

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Solution

The fourth proportional to 507,384.41, 700,201.67 and 289,588.77 is: 399,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,384.41 : 700,201.67 = 289,588.77 : x
  2. Step 2: Convert to fraction form
    507,384.41/700,201.67 = 289,588.77/x
  3. Step 3: Cross multiply
    507,384.41x = 700,201.67 × 289,588.77
  4. Step 4: Simplify right side
    507,384.41x = 202,770,538,919.30
  5. Step 5: Solve for x
    x = 202,770,538,919.30/507,384.41
  6. Step 6: Final answer
    x = 399,638.89

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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.