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Finding the Fourth Proportional to 462,226.32, 637,864.56 and 258,280.56

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Solution

The fourth proportional to 462,226.32, 637,864.56 and 258,280.56 is: 356,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,226.32 : 637,864.56 = 258,280.56 : x
  2. Step 2: Convert to fraction form
    462,226.32/637,864.56 = 258,280.56/x
  3. Step 3: Cross multiply
    462,226.32x = 637,864.56 × 258,280.56
  4. Step 4: Simplify right side
    462,226.32x = 164,748,015,760.95
  5. Step 5: Solve for x
    x = 164,748,015,760.95/462,226.32
  6. Step 6: Final answer
    x = 356,422.84

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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.