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Finding the Fourth Proportional to 403,984.40, 605,587.80 and 313,977.20

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Solution

The fourth proportional to 403,984.40, 605,587.80 and 313,977.20 is: 470,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,984.40 : 605,587.80 = 313,977.20 : x
  2. Step 2: Convert to fraction form
    403,984.40/605,587.80 = 313,977.20/x
  3. Step 3: Cross multiply
    403,984.40x = 605,587.80 × 313,977.20
  4. Step 4: Simplify right side
    403,984.40x = 190,140,761,798.16
  5. Step 5: Solve for x
    x = 190,140,761,798.16/403,984.40
  6. Step 6: Final answer
    x = 470,663.62

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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.