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Finding the Fourth Proportional to 478,095.30, 716,975.76 and 141,046.44

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Solution

The fourth proportional to 478,095.30, 716,975.76 and 141,046.44 is: 211,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,095.30 : 716,975.76 = 141,046.44 : x
  2. Step 2: Convert to fraction form
    478,095.30/716,975.76 = 141,046.44/x
  3. Step 3: Cross multiply
    478,095.30x = 716,975.76 × 141,046.44
  4. Step 4: Simplify right side
    478,095.30x = 101,126,878,514.29
  5. Step 5: Solve for x
    x = 101,126,878,514.29/478,095.30
  6. Step 6: Final answer
    x = 211,520.34

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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.