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Finding the Fourth Proportional to 824,809.40, 1,237,214.10 and 404,905.40

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Solution

The fourth proportional to 824,809.40, 1,237,214.10 and 404,905.40 is: 607,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,809.40 : 1,237,214.10 = 404,905.40 : x
  2. Step 2: Convert to fraction form
    824,809.40/1,237,214.10 = 404,905.40/x
  3. Step 3: Cross multiply
    824,809.40x = 1,237,214.10 × 404,905.40
  4. Step 4: Simplify right side
    824,809.40x = 500,954,670,046.14
  5. Step 5: Solve for x
    x = 500,954,670,046.14/824,809.40
  6. Step 6: Final answer
    x = 607,358.10

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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.