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Finding the Fourth Proportional to 601,228.07, 829,708.14 and 343,099.87

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Solution

The fourth proportional to 601,228.07, 829,708.14 and 343,099.87 is: 473,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,228.07 : 829,708.14 = 343,099.87 : x
  2. Step 2: Convert to fraction form
    601,228.07/829,708.14 = 343,099.87/x
  3. Step 3: Cross multiply
    601,228.07x = 829,708.14 × 343,099.87
  4. Step 4: Simplify right side
    601,228.07x = 284,672,754,184.30
  5. Step 5: Solve for x
    x = 284,672,754,184.30/601,228.07
  6. Step 6: Final answer
    x = 473,485.47

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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.