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Finding the Fourth Proportional to 466,983.14, 700,573.14 and 151,415.46

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Solution

The fourth proportional to 466,983.14, 700,573.14 and 151,415.46 is: 227,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,983.14 : 700,573.14 = 151,415.46 : x
  2. Step 2: Convert to fraction form
    466,983.14/700,573.14 = 151,415.46/x
  3. Step 3: Cross multiply
    466,983.14x = 700,573.14 × 151,415.46
  4. Step 4: Simplify right side
    466,983.14x = 106,077,604,256.74
  5. Step 5: Solve for x
    x = 106,077,604,256.74/466,983.14
  6. Step 6: Final answer
    x = 227,155.11

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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.