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Finding the Fourth Proportional to 364,168.14, 546,332.40 and 111,450.57

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Solution

The fourth proportional to 364,168.14, 546,332.40 and 111,450.57 is: 167,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,168.14 : 546,332.40 = 111,450.57 : x
  2. Step 2: Convert to fraction form
    364,168.14/546,332.40 = 111,450.57/x
  3. Step 3: Cross multiply
    364,168.14x = 546,332.40 × 111,450.57
  4. Step 4: Simplify right side
    364,168.14x = 60,889,057,389.47
  5. Step 5: Solve for x
    x = 60,889,057,389.47/364,168.14
  6. Step 6: Final answer
    x = 167,200.40

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1.5x scale

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.