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Finding the Fourth Proportional to 432,005.76, 596,168.32 and 241,019.18

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Solution

The fourth proportional to 432,005.76, 596,168.32 and 241,019.18 is: 332,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.76 : 596,168.32 = 241,019.18 : x
  2. Step 2: Convert to fraction form
    432,005.76/596,168.32 = 241,019.18/x
  3. Step 3: Cross multiply
    432,005.76x = 596,168.32 × 241,019.18
  4. Step 4: Simplify right side
    432,005.76x = 143,687,999,628.38
  5. Step 5: Solve for x
    x = 143,687,999,628.38/432,005.76
  6. Step 6: Final answer
    x = 332,606.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.