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Finding the Fourth Proportional to 343,005.88, 472,929.90 and 252,085

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Solution

The fourth proportional to 343,005.88, 472,929.90 and 252,085 is: 347,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,005.88 : 472,929.90 = 252,085 : x
  2. Step 2: Convert to fraction form
    343,005.88/472,929.90 = 252,085/x
  3. Step 3: Cross multiply
    343,005.88x = 472,929.90 × 252,085
  4. Step 4: Simplify right side
    343,005.88x = 119,218,533,841.50
  5. Step 5: Solve for x
    x = 119,218,533,841.50/343,005.88
  6. Step 6: Final answer
    x = 347,569.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.