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Finding the Fourth Proportional to 432,486.54, 596,831.90 and 241,499.88

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Solution

The fourth proportional to 432,486.54, 596,831.90 and 241,499.88 is: 333,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,486.54 : 596,831.90 = 241,499.88 : x
  2. Step 2: Convert to fraction form
    432,486.54/596,831.90 = 241,499.88/x
  3. Step 3: Cross multiply
    432,486.54x = 596,831.90 × 241,499.88
  4. Step 4: Simplify right side
    432,486.54x = 144,134,831,022.67
  5. Step 5: Solve for x
    x = 144,134,831,022.67/432,486.54
  6. Step 6: Final answer
    x = 333,270.10

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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.