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Finding the Fourth Proportional to 338,436.80, 507,655.20 and 319,083.20

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Solution

The fourth proportional to 338,436.80, 507,655.20 and 319,083.20 is: 478,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,436.80 : 507,655.20 = 319,083.20 : x
  2. Step 2: Convert to fraction form
    338,436.80/507,655.20 = 319,083.20/x
  3. Step 3: Cross multiply
    338,436.80x = 507,655.20 × 319,083.20
  4. Step 4: Simplify right side
    338,436.80x = 161,984,245,712.64
  5. Step 5: Solve for x
    x = 161,984,245,712.64/338,436.80
  6. Step 6: Final answer
    x = 478,624.80

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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.