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Finding the Fourth Proportional to 425,199.16, 586,748.46 and 234,201.88

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Solution

The fourth proportional to 425,199.16, 586,748.46 and 234,201.88 is: 323,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,199.16 : 586,748.46 = 234,201.88 : x
  2. Step 2: Convert to fraction form
    425,199.16/586,748.46 = 234,201.88/x
  3. Step 3: Cross multiply
    425,199.16x = 586,748.46 × 234,201.88
  4. Step 4: Simplify right side
    425,199.16x = 137,417,592,419.11
  5. Step 5: Solve for x
    x = 137,417,592,419.11/425,199.16
  6. Step 6: Final answer
    x = 323,184.06

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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.