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Finding the Fourth Proportional to 601,320.09, 829,835.09 and 343,191.88

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Solution

The fourth proportional to 601,320.09, 829,835.09 and 343,191.88 is: 473,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,320.09 : 829,835.09 = 343,191.88 : x
  2. Step 2: Convert to fraction form
    601,320.09/829,835.09 = 343,191.88/x
  3. Step 3: Cross multiply
    601,320.09x = 829,835.09 × 343,191.88
  4. Step 4: Simplify right side
    601,320.09x = 284,792,662,498.01
  5. Step 5: Solve for x
    x = 284,792,662,498.01/601,320.09
  6. Step 6: Final answer
    x = 473,612.42

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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.