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Finding the Fourth Proportional to 304,498.86, 420,173.37 and 175,456.14

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Solution

The fourth proportional to 304,498.86, 420,173.37 and 175,456.14 is: 242,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,498.86 : 420,173.37 = 175,456.14 : x
  2. Step 2: Convert to fraction form
    304,498.86/420,173.37 = 175,456.14/x
  3. Step 3: Cross multiply
    304,498.86x = 420,173.37 × 175,456.14
  4. Step 4: Simplify right side
    304,498.86x = 73,721,997,630.99
  5. Step 5: Solve for x
    x = 73,721,997,630.99/304,498.86
  6. Step 6: Final answer
    x = 242,109.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.