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Finding the Fourth Proportional to 295,147.53, 407,303.64 and 167,830.92

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Solution

The fourth proportional to 295,147.53, 407,303.64 and 167,830.92 is: 231,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,147.53 : 407,303.64 = 167,830.92 : x
  2. Step 2: Convert to fraction form
    295,147.53/407,303.64 = 167,830.92/x
  3. Step 3: Cross multiply
    295,147.53x = 407,303.64 × 167,830.92
  4. Step 4: Simplify right side
    295,147.53x = 68,358,144,620.55
  5. Step 5: Solve for x
    x = 68,358,144,620.55/295,147.53
  6. Step 6: Final answer
    x = 231,606.70

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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.