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Finding the Fourth Proportional to 465,688.32, 698,537.36 and 372,784.64

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Solution

The fourth proportional to 465,688.32, 698,537.36 and 372,784.64 is: 559,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,688.32 : 698,537.36 = 372,784.64 : x
  2. Step 2: Convert to fraction form
    465,688.32/698,537.36 = 372,784.64/x
  3. Step 3: Cross multiply
    465,688.32x = 698,537.36 × 372,784.64
  4. Step 4: Simplify right side
    465,688.32x = 260,403,998,274.15
  5. Step 5: Solve for x
    x = 260,403,998,274.15/465,688.32
  6. Step 6: Final answer
    x = 559,180.87

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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.