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Finding the Fourth Proportional to 409,631.60, 614,447.40 and 409,631.60

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Solution

The fourth proportional to 409,631.60, 614,447.40 and 409,631.60 is: 614,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,631.60 : 614,447.40 = 409,631.60 : x
  2. Step 2: Convert to fraction form
    409,631.60/614,447.40 = 409,631.60/x
  3. Step 3: Cross multiply
    409,631.60x = 614,447.40 × 409,631.60
  4. Step 4: Simplify right side
    409,631.60x = 251,697,071,577.84
  5. Step 5: Solve for x
    x = 251,697,071,577.84/409,631.60
  6. Step 6: Final answer
    x = 614,447.40

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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.