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Finding the Fourth Proportional to 485,225.16, 727,948.53 and 148,313.76

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Solution

The fourth proportional to 485,225.16, 727,948.53 and 148,313.76 is: 222,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,225.16 : 727,948.53 = 148,313.76 : x
  2. Step 2: Convert to fraction form
    485,225.16/727,948.53 = 148,313.76/x
  3. Step 3: Cross multiply
    485,225.16x = 727,948.53 × 148,313.76
  4. Step 4: Simplify right side
    485,225.16x = 107,964,783,570.77
  5. Step 5: Solve for x
    x = 107,964,783,570.77/485,225.16
  6. Step 6: Final answer
    x = 222,504.50

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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.