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Finding the Fourth Proportional to 467,802.68, 701,538.42 and 152,200.76

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Solution

The fourth proportional to 467,802.68, 701,538.42 and 152,200.76 is: 228,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,802.68 : 701,538.42 = 152,200.76 : x
  2. Step 2: Convert to fraction form
    467,802.68/701,538.42 = 152,200.76/x
  3. Step 3: Cross multiply
    467,802.68x = 701,538.42 × 152,200.76
  4. Step 4: Simplify right side
    467,802.68x = 106,774,680,693.20
  5. Step 5: Solve for x
    x = 106,774,680,693.20/467,802.68
  6. Step 6: Final answer
    x = 228,247.26

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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.