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Finding the Fourth Proportional to 404,101.40, 605,763.30 and 314,094.20

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Solution

The fourth proportional to 404,101.40, 605,763.30 and 314,094.20 is: 470,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,101.40 : 605,763.30 = 314,094.20 : x
  2. Step 2: Convert to fraction form
    404,101.40/605,763.30 = 314,094.20/x
  3. Step 3: Cross multiply
    404,101.40x = 605,763.30 × 314,094.20
  4. Step 4: Simplify right side
    404,101.40x = 190,266,739,102.86
  5. Step 5: Solve for x
    x = 190,266,739,102.86/404,101.40
  6. Step 6: Final answer
    x = 470,839.10

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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.