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Finding the Fourth Proportional to 357,428.84, 535,985.81 and 167,943.11

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Solution

The fourth proportional to 357,428.84, 535,985.81 and 167,943.11 is: 251,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,428.84 : 535,985.81 = 167,943.11 : x
  2. Step 2: Convert to fraction form
    357,428.84/535,985.81 = 167,943.11/x
  3. Step 3: Cross multiply
    357,428.84x = 535,985.81 × 167,943.11
  4. Step 4: Simplify right side
    357,428.84x = 90,015,120,957.41
  5. Step 5: Solve for x
    x = 90,015,120,957.41/357,428.84
  6. Step 6: Final answer
    x = 251,840.68

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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.