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Finding the Fourth Proportional to 415,415.30, 623,122.95 and 415,415.30

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Solution

The fourth proportional to 415,415.30, 623,122.95 and 415,415.30 is: 623,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,415.30 : 623,122.95 = 415,415.30 : x
  2. Step 2: Convert to fraction form
    415,415.30/623,122.95 = 415,415.30/x
  3. Step 3: Cross multiply
    415,415.30x = 623,122.95 × 415,415.30
  4. Step 4: Simplify right side
    415,415.30x = 258,854,807,211.14
  5. Step 5: Solve for x
    x = 258,854,807,211.14/415,415.30
  6. Step 6: Final answer
    x = 623,122.95

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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.