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Finding the Fourth Proportional to 409,748.37, 564,166.04 and 348,373.86

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Solution

The fourth proportional to 409,748.37, 564,166.04 and 348,373.86 is: 479,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,748.37 : 564,166.04 = 348,373.86 : x
  2. Step 2: Convert to fraction form
    409,748.37/564,166.04 = 348,373.86/x
  3. Step 3: Cross multiply
    409,748.37x = 564,166.04 × 348,373.86
  4. Step 4: Simplify right side
    409,748.37x = 196,540,701,331.46
  5. Step 5: Solve for x
    x = 196,540,701,331.46/409,748.37
  6. Step 6: Final answer
    x = 479,661.95

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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.