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Finding the Fourth Proportional to 404,077.40, 605,727.30 and 314,070.20

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Solution

The fourth proportional to 404,077.40, 605,727.30 and 314,070.20 is: 470,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,077.40 : 605,727.30 = 314,070.20 : x
  2. Step 2: Convert to fraction form
    404,077.40/605,727.30 = 314,070.20/x
  3. Step 3: Cross multiply
    404,077.40x = 605,727.30 × 314,070.20
  4. Step 4: Simplify right side
    404,077.40x = 190,240,894,256.46
  5. Step 5: Solve for x
    x = 190,240,894,256.46/404,077.40
  6. Step 6: Final answer
    x = 470,803.10

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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.