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Finding the Fourth Proportional to 462,047.12, 637,632.84 and 258,115.92

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Solution

The fourth proportional to 462,047.12, 637,632.84 and 258,115.92 is: 356,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,047.12 : 637,632.84 = 258,115.92 : x
  2. Step 2: Convert to fraction form
    462,047.12/637,632.84 = 258,115.92/x
  3. Step 3: Cross multiply
    462,047.12x = 637,632.84 × 258,115.92
  4. Step 4: Simplify right side
    462,047.12x = 164,583,187,118.81
  5. Step 5: Solve for x
    x = 164,583,187,118.81/462,047.12
  6. Step 6: Final answer
    x = 356,204.34

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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.