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Finding the Fourth Proportional to 601,617.06, 829,920.96 and 407,959.29

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Solution

The fourth proportional to 601,617.06, 829,920.96 and 407,959.29 is: 562,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,617.06 : 829,920.96 = 407,959.29 : x
  2. Step 2: Convert to fraction form
    601,617.06/829,920.96 = 407,959.29/x
  3. Step 3: Cross multiply
    601,617.06x = 829,920.96 × 407,959.29
  4. Step 4: Simplify right side
    601,617.06x = 338,573,965,597.72
  5. Step 5: Solve for x
    x = 338,573,965,597.72/601,617.06
  6. Step 6: Final answer
    x = 562,773.21

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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.