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Finding the Fourth Proportional to 601,304.52, 829,813.56 and 343,176.34

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Solution

The fourth proportional to 601,304.52, 829,813.56 and 343,176.34 is: 473,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,304.52 : 829,813.56 = 343,176.34 : x
  2. Step 2: Convert to fraction form
    601,304.52/829,813.56 = 343,176.34/x
  3. Step 3: Cross multiply
    601,304.52x = 829,813.56 × 343,176.34
  4. Step 4: Simplify right side
    601,304.52x = 284,772,380,403.17
  5. Step 5: Solve for x
    x = 284,772,380,403.17/601,304.52
  6. Step 6: Final answer
    x = 473,590.95

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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.