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Finding the Fourth Proportional to 432,001, 596,161.38 and 253,153

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Solution

The fourth proportional to 432,001, 596,161.38 and 253,153 is: 349,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,001 : 596,161.38 = 253,153 : x
  2. Step 2: Convert to fraction form
    432,001/596,161.38 = 253,153/x
  3. Step 3: Cross multiply
    432,001x = 596,161.38 × 253,153
  4. Step 4: Simplify right side
    432,001x = 150,920,041,831.14
  5. Step 5: Solve for x
    x = 150,920,041,831.14/432,001
  6. Step 6: Final answer
    x = 349,351.14

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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.