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Finding the Fourth Proportional to 601,226.90, 829,706.55 and 343,098.71

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Solution

The fourth proportional to 601,226.90, 829,706.55 and 343,098.71 is: 473,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,226.90 : 829,706.55 = 343,098.71 : x
  2. Step 2: Convert to fraction form
    601,226.90/829,706.55 = 343,098.71/x
  3. Step 3: Cross multiply
    601,226.90x = 829,706.55 × 343,098.71
  4. Step 4: Simplify right side
    601,226.90x = 284,671,245,268.06
  5. Step 5: Solve for x
    x = 284,671,245,268.06/601,226.90
  6. Step 6: Final answer
    x = 473,483.88

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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.