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Finding the Fourth Proportional to 403,955.40, 605,544.30 and 313,948.20

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Solution

The fourth proportional to 403,955.40, 605,544.30 and 313,948.20 is: 470,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,955.40 : 605,544.30 = 313,948.20 : x
  2. Step 2: Convert to fraction form
    403,955.40/605,544.30 = 313,948.20/x
  3. Step 3: Cross multiply
    403,955.40x = 605,544.30 × 313,948.20
  4. Step 4: Simplify right side
    403,955.40x = 190,109,543,005.26
  5. Step 5: Solve for x
    x = 190,109,543,005.26/403,955.40
  6. Step 6: Final answer
    x = 470,620.13

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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.