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Finding the Fourth Proportional to 484,407.44, 725,946.86 and 306,597.05

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Solution

The fourth proportional to 484,407.44, 725,946.86 and 306,597.05 is: 459,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,407.44 : 725,946.86 = 306,597.05 : x
  2. Step 2: Convert to fraction form
    484,407.44/725,946.86 = 306,597.05/x
  3. Step 3: Cross multiply
    484,407.44x = 725,946.86 × 306,597.05
  4. Step 4: Simplify right side
    484,407.44x = 222,573,168,314.12
  5. Step 5: Solve for x
    x = 222,573,168,314.12/484,407.44
  6. Step 6: Final answer
    x = 459,475.12

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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.