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Finding the Fourth Proportional to 342,466.32, 472,488.48 and 199,109.28

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Solution

The fourth proportional to 342,466.32, 472,488.48 and 199,109.28 is: 274,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,466.32 : 472,488.48 = 199,109.28 : x
  2. Step 2: Convert to fraction form
    342,466.32/472,488.48 = 199,109.28/x
  3. Step 3: Cross multiply
    342,466.32x = 472,488.48 × 199,109.28
  4. Step 4: Simplify right side
    342,466.32x = 94,076,841,061.09
  5. Step 5: Solve for x
    x = 94,076,841,061.09/342,466.32
  6. Step 6: Final answer
    x = 274,703.92

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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.