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Finding the Fourth Proportional to 462,159, 637,670.10 and 268,451.64

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Solution

The fourth proportional to 462,159, 637,670.10 and 268,451.64 is: 370,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,159 : 637,670.10 = 268,451.64 : x
  2. Step 2: Convert to fraction form
    462,159/637,670.10 = 268,451.64/x
  3. Step 3: Cross multiply
    462,159x = 637,670.10 × 268,451.64
  4. Step 4: Simplify right side
    462,159x = 171,183,584,123.96
  5. Step 5: Solve for x
    x = 171,183,584,123.96/462,159
  6. Step 6: Final answer
    x = 370,399.76

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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.