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Finding the Fourth Proportional to 482,648.84, 724,077.32 and 145,661.32

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Solution

The fourth proportional to 482,648.84, 724,077.32 and 145,661.32 is: 218,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,648.84 : 724,077.32 = 145,661.32 : x
  2. Step 2: Convert to fraction form
    482,648.84/724,077.32 = 145,661.32/x
  3. Step 3: Cross multiply
    482,648.84x = 724,077.32 × 145,661.32
  4. Step 4: Simplify right side
    482,648.84x = 105,470,058,213.26
  5. Step 5: Solve for x
    x = 105,470,058,213.26/482,648.84
  6. Step 6: Final answer
    x = 218,523.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.