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Finding the Fourth Proportional to 475,201.08, 712,932.84 and 190,978.56

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Solution

The fourth proportional to 475,201.08, 712,932.84 and 190,978.56 is: 286,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,201.08 : 712,932.84 = 190,978.56 : x
  2. Step 2: Convert to fraction form
    475,201.08/712,932.84 = 190,978.56/x
  3. Step 3: Cross multiply
    475,201.08x = 712,932.84 × 190,978.56
  4. Step 4: Simplify right side
    475,201.08x = 136,154,887,159.91
  5. Step 5: Solve for x
    x = 136,154,887,159.91/475,201.08
  6. Step 6: Final answer
    x = 286,520.58

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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.