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Finding the Fourth Proportional to 465,319.84, 698,187.12 and 243,652

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Solution

The fourth proportional to 465,319.84, 698,187.12 and 243,652 is: 365,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,319.84 : 698,187.12 = 243,652 : x
  2. Step 2: Convert to fraction form
    465,319.84/698,187.12 = 243,652/x
  3. Step 3: Cross multiply
    465,319.84x = 698,187.12 × 243,652
  4. Step 4: Simplify right side
    465,319.84x = 170,114,688,162.24
  5. Step 5: Solve for x
    x = 170,114,688,162.24/465,319.84
  6. Step 6: Final answer
    x = 365,586.58

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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.