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Finding the Fourth Proportional to 343,000.31, 512,053.44 and 320,206.42

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Solution

The fourth proportional to 343,000.31, 512,053.44 and 320,206.42 is: 478,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,000.31 : 512,053.44 = 320,206.42 : x
  2. Step 2: Convert to fraction form
    343,000.31/512,053.44 = 320,206.42/x
  3. Step 3: Cross multiply
    343,000.31x = 512,053.44 × 320,206.42
  4. Step 4: Simplify right side
    343,000.31x = 163,962,798,871.09
  5. Step 5: Solve for x
    x = 163,962,798,871.09/343,000.31
  6. Step 6: Final answer
    x = 478,025.22

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1.5x scale

Why These Related Problems?

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