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Finding the Fourth Proportional to 434,321.84, 651,564.68 and 164,530.76

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Solution

The fourth proportional to 434,321.84, 651,564.68 and 164,530.76 is: 246,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,321.84 : 651,564.68 = 164,530.76 : x
  2. Step 2: Convert to fraction form
    434,321.84/651,564.68 = 164,530.76/x
  3. Step 3: Cross multiply
    434,321.84x = 651,564.68 × 164,530.76
  4. Step 4: Simplify right side
    434,321.84x = 107,202,431,989.56
  5. Step 5: Solve for x
    x = 107,202,431,989.56/434,321.84
  6. Step 6: Final answer
    x = 246,827.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.