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Finding the Fourth Proportional to 483,802.40, 678,023.20 and 483,802.40

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Solution

The fourth proportional to 483,802.40, 678,023.20 and 483,802.40 is: 678,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,802.40 : 678,023.20 = 483,802.40 : x
  2. Step 2: Convert to fraction form
    483,802.40/678,023.20 = 483,802.40/x
  3. Step 3: Cross multiply
    483,802.40x = 678,023.20 × 483,802.40
  4. Step 4: Simplify right side
    483,802.40x = 328,029,251,415.68
  5. Step 5: Solve for x
    x = 328,029,251,415.68/483,802.40
  6. Step 6: Final answer
    x = 678,023.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.