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Finding the Fourth Proportional to 432,615.12, 597,002.64 and 241,631.28

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Solution

The fourth proportional to 432,615.12, 597,002.64 and 241,631.28 is: 333,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,615.12 : 597,002.64 = 241,631.28 : x
  2. Step 2: Convert to fraction form
    432,615.12/597,002.64 = 241,631.28/x
  3. Step 3: Cross multiply
    432,615.12x = 597,002.64 × 241,631.28
  4. Step 4: Simplify right side
    432,615.12x = 144,254,512,066.58
  5. Step 5: Solve for x
    x = 144,254,512,066.58/432,615.12
  6. Step 6: Final answer
    x = 333,447.69

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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.