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Finding the Fourth Proportional to 459,354.09, 689,029.59 and 117,797.14

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Solution

The fourth proportional to 459,354.09, 689,029.59 and 117,797.14 is: 176,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,354.09 : 689,029.59 = 117,797.14 : x
  2. Step 2: Convert to fraction form
    459,354.09/689,029.59 = 117,797.14/x
  3. Step 3: Cross multiply
    459,354.09x = 689,029.59 × 117,797.14
  4. Step 4: Simplify right side
    459,354.09x = 81,165,711,842.00
  5. Step 5: Solve for x
    x = 81,165,711,842.00/459,354.09
  6. Step 6: Final answer
    x = 176,695.31

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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.