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Finding the Fourth Proportional to 533,731.28, 800,594.76 and 214,026.08

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Solution

The fourth proportional to 533,731.28, 800,594.76 and 214,026.08 is: 321,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,731.28 : 800,594.76 = 214,026.08 : x
  2. Step 2: Convert to fraction form
    533,731.28/800,594.76 = 214,026.08/x
  3. Step 3: Cross multiply
    533,731.28x = 800,594.76 × 214,026.08
  4. Step 4: Simplify right side
    533,731.28x = 171,348,158,151.34
  5. Step 5: Solve for x
    x = 171,348,158,151.34/533,731.28
  6. Step 6: Final answer
    x = 321,038.25

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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.