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Finding the Fourth Proportional to 432,000, 596,160 and 253,152

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Solution

The fourth proportional to 432,000, 596,160 and 253,152 is: 349,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,000 : 596,160 = 253,152 : x
  2. Step 2: Convert to fraction form
    432,000/596,160 = 253,152/x
  3. Step 3: Cross multiply
    432,000x = 596,160 × 253,152
  4. Step 4: Simplify right side
    432,000x = 150,919,096,320
  5. Step 5: Solve for x
    x = 150,919,096,320/432,000
  6. Step 6: Final answer
    x = 349,349.76

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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.