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Finding the Fourth Proportional to 601,359.06, 829,680.24 and 410,040.30

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Solution

The fourth proportional to 601,359.06, 829,680.24 and 410,040.30 is: 565,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,359.06 : 829,680.24 = 410,040.30 : x
  2. Step 2: Convert to fraction form
    601,359.06/829,680.24 = 410,040.30/x
  3. Step 3: Cross multiply
    601,359.06x = 829,680.24 × 410,040.30
  4. Step 4: Simplify right side
    601,359.06x = 340,202,334,513.67
  5. Step 5: Solve for x
    x = 340,202,334,513.67/601,359.06
  6. Step 6: Final answer
    x = 565,722.47

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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.