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Finding the Fourth Proportional to 489,462.84, 675,670.68 and 458,822.16

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Solution

The fourth proportional to 489,462.84, 675,670.68 and 458,822.16 is: 633,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,462.84 : 675,670.68 = 458,822.16 : x
  2. Step 2: Convert to fraction form
    489,462.84/675,670.68 = 458,822.16/x
  3. Step 3: Cross multiply
    489,462.84x = 675,670.68 × 458,822.16
  4. Step 4: Simplify right side
    489,462.84x = 310,012,680,846.27
  5. Step 5: Solve for x
    x = 310,012,680,846.27/489,462.84
  6. Step 6: Final answer
    x = 633,373.27

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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.