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Finding the Fourth Proportional to 1,005,049, 1,508,264.70 and 414,073

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Solution

The fourth proportional to 1,005,049, 1,508,264.70 and 414,073 is: 621,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,049 : 1,508,264.70 = 414,073 : x
  2. Step 2: Convert to fraction form
    1,005,049/1,508,264.70 = 414,073/x
  3. Step 3: Cross multiply
    1,005,049x = 1,508,264.70 × 414,073
  4. Step 4: Simplify right side
    1,005,049x = 624,531,689,123.10
  5. Step 5: Solve for x
    x = 624,531,689,123.10/1,005,049
  6. Step 6: Final answer
    x = 621,394.27

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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.