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Finding the Fourth Proportional to 338,468.80, 507,703.20 and 322,916.80

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Solution

The fourth proportional to 338,468.80, 507,703.20 and 322,916.80 is: 484,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,468.80 : 507,703.20 = 322,916.80 : x
  2. Step 2: Convert to fraction form
    338,468.80/507,703.20 = 322,916.80/x
  3. Step 3: Cross multiply
    338,468.80x = 507,703.20 × 322,916.80
  4. Step 4: Simplify right side
    338,468.80x = 163,945,892,693.76
  5. Step 5: Solve for x
    x = 163,945,892,693.76/338,468.80
  6. Step 6: Final answer
    x = 484,375.20

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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.