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Finding the Fourth Proportional to 561,504.38, 841,751.12 and 206,442.50

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Solution

The fourth proportional to 561,504.38, 841,751.12 and 206,442.50 is: 309,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,504.38 : 841,751.12 = 206,442.50 : x
  2. Step 2: Convert to fraction form
    561,504.38/841,751.12 = 206,442.50/x
  3. Step 3: Cross multiply
    561,504.38x = 841,751.12 × 206,442.50
  4. Step 4: Simplify right side
    561,504.38x = 173,773,205,590.60
  5. Step 5: Solve for x
    x = 173,773,205,590.60/561,504.38
  6. Step 6: Final answer
    x = 309,477.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.