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Finding the Fourth Proportional to 465,803.66, 698,666.52 and 128,848.46

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Solution

The fourth proportional to 465,803.66, 698,666.52 and 128,848.46 is: 193,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,803.66 : 698,666.52 = 128,848.46 : x
  2. Step 2: Convert to fraction form
    465,803.66/698,666.52 = 128,848.46/x
  3. Step 3: Cross multiply
    465,803.66x = 698,666.52 × 128,848.46
  4. Step 4: Simplify right side
    465,803.66x = 90,022,101,662.23
  5. Step 5: Solve for x
    x = 90,022,101,662.23/465,803.66
  6. Step 6: Final answer
    x = 193,261.90

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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.