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Finding the Fourth Proportional to 502,109.67, 692,607.06 and 298,026.12

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Solution

The fourth proportional to 502,109.67, 692,607.06 and 298,026.12 is: 411,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,109.67 : 692,607.06 = 298,026.12 : x
  2. Step 2: Convert to fraction form
    502,109.67/692,607.06 = 298,026.12/x
  3. Step 3: Cross multiply
    502,109.67x = 692,607.06 × 298,026.12
  4. Step 4: Simplify right side
    502,109.67x = 206,414,994,776.41
  5. Step 5: Solve for x
    x = 206,414,994,776.41/502,109.67
  6. Step 6: Final answer
    x = 411,095.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.