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Finding the Fourth Proportional to 466,090.33, 698,497.63 and 352,144.46

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Solution

The fourth proportional to 466,090.33, 698,497.63 and 352,144.46 is: 527,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,090.33 : 698,497.63 = 352,144.46 : x
  2. Step 2: Convert to fraction form
    466,090.33/698,497.63 = 352,144.46/x
  3. Step 3: Cross multiply
    466,090.33x = 698,497.63 × 352,144.46
  4. Step 4: Simplify right side
    466,090.33x = 245,972,071,593.51
  5. Step 5: Solve for x
    x = 245,972,071,593.51/466,090.33
  6. Step 6: Final answer
    x = 527,734.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.