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Finding the Fourth Proportional to 343,000.36, 512,053.53 and 320,206.48

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Solution

The fourth proportional to 343,000.36, 512,053.53 and 320,206.48 is: 478,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,000.36 : 512,053.53 = 320,206.48 : x
  2. Step 2: Convert to fraction form
    343,000.36/512,053.53 = 320,206.48/x
  3. Step 3: Cross multiply
    343,000.36x = 512,053.53 × 320,206.48
  4. Step 4: Simplify right side
    343,000.36x = 163,962,858,412.87
  5. Step 5: Solve for x
    x = 163,962,858,412.87/343,000.36
  6. Step 6: Final answer
    x = 478,025.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.