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Finding the Fourth Proportional to 443,707.47, 665,391.11 and 349,123.77

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Solution

The fourth proportional to 443,707.47, 665,391.11 and 349,123.77 is: 523,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,707.47 : 665,391.11 = 349,123.77 : x
  2. Step 2: Convert to fraction form
    443,707.47/665,391.11 = 349,123.77/x
  3. Step 3: Cross multiply
    443,707.47x = 665,391.11 × 349,123.77
  4. Step 4: Simplify right side
    443,707.47x = 232,303,851,102.07
  5. Step 5: Solve for x
    x = 232,303,851,102.07/443,707.47
  6. Step 6: Final answer
    x = 523,551.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.