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Finding the Fourth Proportional to 465,493.17, 642,381.12 and 264,289.17

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Solution

The fourth proportional to 465,493.17, 642,381.12 and 264,289.17 is: 364,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,493.17 : 642,381.12 = 264,289.17 : x
  2. Step 2: Convert to fraction form
    465,493.17/642,381.12 = 264,289.17/x
  3. Step 3: Cross multiply
    465,493.17x = 642,381.12 × 264,289.17
  4. Step 4: Simplify right side
    465,493.17x = 169,774,373,028.47
  5. Step 5: Solve for x
    x = 169,774,373,028.47/465,493.17
  6. Step 6: Final answer
    x = 364,719.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.