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Finding the Fourth Proportional to 468,797.06, 646,514.65 and 307,590.86

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Solution

The fourth proportional to 468,797.06, 646,514.65 and 307,590.86 is: 424,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,797.06 : 646,514.65 = 307,590.86 : x
  2. Step 2: Convert to fraction form
    468,797.06/646,514.65 = 307,590.86/x
  3. Step 3: Cross multiply
    468,797.06x = 646,514.65 × 307,590.86
  4. Step 4: Simplify right side
    468,797.06x = 198,861,997,196.10
  5. Step 5: Solve for x
    x = 198,861,997,196.10/468,797.06
  6. Step 6: Final answer
    x = 424,196.34

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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.