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Finding the Fourth Proportional to 338,357.84, 507,486.65 and 205,202.35

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Solution

The fourth proportional to 338,357.84, 507,486.65 and 205,202.35 is: 307,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,357.84 : 507,486.65 = 205,202.35 : x
  2. Step 2: Convert to fraction form
    338,357.84/507,486.65 = 205,202.35/x
  3. Step 3: Cross multiply
    338,357.84x = 507,486.65 × 205,202.35
  4. Step 4: Simplify right side
    338,357.84x = 104,137,450,878.90
  5. Step 5: Solve for x
    x = 104,137,450,878.90/338,357.84
  6. Step 6: Final answer
    x = 307,773.13

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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.