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Finding the Fourth Proportional to 601,466.81, 829,918.68 and 343,225.85

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Solution

The fourth proportional to 601,466.81, 829,918.68 and 343,225.85 is: 473,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,466.81 : 829,918.68 = 343,225.85 : x
  2. Step 2: Convert to fraction form
    601,466.81/829,918.68 = 343,225.85/x
  3. Step 3: Cross multiply
    601,466.81x = 829,918.68 × 343,225.85
  4. Step 4: Simplify right side
    601,466.81x = 284,849,540,224.29
  5. Step 5: Solve for x
    x = 284,849,540,224.29/601,466.81
  6. Step 6: Final answer
    x = 473,591.46

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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.