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Finding the Fourth Proportional to 342,746.03, 473,047.09 and 199,590.47

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Solution

The fourth proportional to 342,746.03, 473,047.09 and 199,590.47 is: 275,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,746.03 : 473,047.09 = 199,590.47 : x
  2. Step 2: Convert to fraction form
    342,746.03/473,047.09 = 199,590.47/x
  3. Step 3: Cross multiply
    342,746.03x = 473,047.09 × 199,590.47
  4. Step 4: Simplify right side
    342,746.03x = 94,415,691,209.90
  5. Step 5: Solve for x
    x = 94,415,691,209.90/342,746.03
  6. Step 6: Final answer
    x = 275,468.38

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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.