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Finding the Fourth Proportional to 541,803.78, 747,697.50 and 300,085.92

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Solution

The fourth proportional to 541,803.78, 747,697.50 and 300,085.92 is: 414,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,803.78 : 747,697.50 = 300,085.92 : x
  2. Step 2: Convert to fraction form
    541,803.78/747,697.50 = 300,085.92/x
  3. Step 3: Cross multiply
    541,803.78x = 747,697.50 × 300,085.92
  4. Step 4: Simplify right side
    541,803.78x = 224,373,492,169.20
  5. Step 5: Solve for x
    x = 224,373,492,169.20/541,803.78
  6. Step 6: Final answer
    x = 414,123.16

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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.