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Finding the Fourth Proportional to 295,061.76, 407,332.28 and 193,243.24

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Solution

The fourth proportional to 295,061.76, 407,332.28 and 193,243.24 is: 266,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,061.76 : 407,332.28 = 193,243.24 : x
  2. Step 2: Convert to fraction form
    295,061.76/407,332.28 = 193,243.24/x
  3. Step 3: Cross multiply
    295,061.76x = 407,332.28 × 193,243.24
  4. Step 4: Simplify right side
    295,061.76x = 78,714,211,409.93
  5. Step 5: Solve for x
    x = 78,714,211,409.93/295,061.76
  6. Step 6: Final answer
    x = 266,771.98

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1.5x scale

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.