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Finding the Fourth Proportional to 541,583.04, 747,407.94 and 299,865.60

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Solution

The fourth proportional to 541,583.04, 747,407.94 and 299,865.60 is: 413,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,583.04 : 747,407.94 = 299,865.60 : x
  2. Step 2: Convert to fraction form
    541,583.04/747,407.94 = 299,865.60/x
  3. Step 3: Cross multiply
    541,583.04x = 747,407.94 × 299,865.60
  4. Step 4: Simplify right side
    541,583.04x = 224,121,930,372.86
  5. Step 5: Solve for x
    x = 224,121,930,372.86/541,583.04
  6. Step 6: Final answer
    x = 413,827.45

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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.