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Finding the Fourth Proportional to 343,354.46, 473,830.18 and 190,403.42

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Solution

The fourth proportional to 343,354.46, 473,830.18 and 190,403.42 is: 262,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,354.46 : 473,830.18 = 190,403.42 : x
  2. Step 2: Convert to fraction form
    343,354.46/473,830.18 = 190,403.42/x
  3. Step 3: Cross multiply
    343,354.46x = 473,830.18 × 190,403.42
  4. Step 4: Simplify right side
    343,354.46x = 90,218,886,771.22
  5. Step 5: Solve for x
    x = 90,218,886,771.22/343,354.46
  6. Step 6: Final answer
    x = 262,757.29

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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.