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Finding the Fourth Proportional to 541,548.94, 747,416.22 and 312,061.56

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Solution

The fourth proportional to 541,548.94, 747,416.22 and 312,061.56 is: 430,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,548.94 : 747,416.22 = 312,061.56 : x
  2. Step 2: Convert to fraction form
    541,548.94/747,416.22 = 312,061.56/x
  3. Step 3: Cross multiply
    541,548.94x = 747,416.22 × 312,061.56
  4. Step 4: Simplify right side
    541,548.94x = 233,239,871,582.50
  5. Step 5: Solve for x
    x = 233,239,871,582.50/541,548.94
  6. Step 6: Final answer
    x = 430,690.29

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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.