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Finding the Fourth Proportional to 601,321.81, 829,837.51 and 343,193.58

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Solution

The fourth proportional to 601,321.81, 829,837.51 and 343,193.58 is: 473,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,321.81 : 829,837.51 = 343,193.58 : x
  2. Step 2: Convert to fraction form
    601,321.81/829,837.51 = 343,193.58/x
  3. Step 3: Cross multiply
    601,321.81x = 829,837.51 × 343,193.58
  4. Step 4: Simplify right side
    601,321.81x = 284,794,905,875.19
  5. Step 5: Solve for x
    x = 284,794,905,875.19/601,321.81
  6. Step 6: Final answer
    x = 473,614.80

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1.5x scale

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.