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Finding the Fourth Proportional to 482,748, 724,157.54 and 127,759.63

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Solution

The fourth proportional to 482,748, 724,157.54 and 127,759.63 is: 191,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,748 : 724,157.54 = 127,759.63 : x
  2. Step 2: Convert to fraction form
    482,748/724,157.54 = 127,759.63/x
  3. Step 3: Cross multiply
    482,748x = 724,157.54 × 127,759.63
  4. Step 4: Simplify right side
    482,748x = 92,518,095,112.52
  5. Step 5: Solve for x
    x = 92,518,095,112.52/482,748
  6. Step 6: Final answer
    x = 191,648.84

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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.