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Finding the Fourth Proportional to 465,322.40, 698,330.98 and 345,655.66

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Solution

The fourth proportional to 465,322.40, 698,330.98 and 345,655.66 is: 518,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,322.40 : 698,330.98 = 345,655.66 : x
  2. Step 2: Convert to fraction form
    465,322.40/698,330.98 = 345,655.66/x
  3. Step 3: Cross multiply
    465,322.40x = 698,330.98 × 345,655.66
  4. Step 4: Simplify right side
    465,322.40x = 241,382,055,790.35
  5. Step 5: Solve for x
    x = 241,382,055,790.35/465,322.40
  6. Step 6: Final answer
    x = 518,741.53

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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.