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Finding the Fourth Proportional to 357,643.40, 536,465.10 and 161,035.40

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Solution

The fourth proportional to 357,643.40, 536,465.10 and 161,035.40 is: 241,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,643.40 : 536,465.10 = 161,035.40 : x
  2. Step 2: Convert to fraction form
    357,643.40/536,465.10 = 161,035.40/x
  3. Step 3: Cross multiply
    357,643.40x = 536,465.10 × 161,035.40
  4. Step 4: Simplify right side
    357,643.40x = 86,389,871,964.54
  5. Step 5: Solve for x
    x = 86,389,871,964.54/357,643.40
  6. Step 6: Final answer
    x = 241,553.10

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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.