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Finding the Fourth Proportional to 702,238.44, 968,813.31 and 407,838.04

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Solution

The fourth proportional to 702,238.44, 968,813.31 and 407,838.04 is: 562,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,238.44 : 968,813.31 = 407,838.04 : x
  2. Step 2: Convert to fraction form
    702,238.44/968,813.31 = 407,838.04/x
  3. Step 3: Cross multiply
    702,238.44x = 968,813.31 × 407,838.04
  4. Step 4: Simplify right side
    702,238.44x = 395,118,921,476.31
  5. Step 5: Solve for x
    x = 395,118,921,476.31/702,238.44
  6. Step 6: Final answer
    x = 562,656.36

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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.