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Finding the Fourth Proportional to 507,834.80, 700,493.64 and 326,782.16

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Solution

The fourth proportional to 507,834.80, 700,493.64 and 326,782.16 is: 450,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,834.80 : 700,493.64 = 326,782.16 : x
  2. Step 2: Convert to fraction form
    507,834.80/700,493.64 = 326,782.16/x
  3. Step 3: Cross multiply
    507,834.80x = 700,493.64 × 326,782.16
  4. Step 4: Simplify right side
    507,834.80x = 228,908,824,745.46
  5. Step 5: Solve for x
    x = 228,908,824,745.46/507,834.80
  6. Step 6: Final answer
    x = 450,754.51

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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.