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Finding the Fourth Proportional to 291,831.60, 437,423.40 and 114,279.60

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Solution

The fourth proportional to 291,831.60, 437,423.40 and 114,279.60 is: 171,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,831.60 : 437,423.40 = 114,279.60 : x
  2. Step 2: Convert to fraction form
    291,831.60/437,423.40 = 114,279.60/x
  3. Step 3: Cross multiply
    291,831.60x = 437,423.40 × 114,279.60
  4. Step 4: Simplify right side
    291,831.60x = 49,988,571,182.64
  5. Step 5: Solve for x
    x = 49,988,571,182.64/291,831.60
  6. Step 6: Final answer
    x = 171,292.52

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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.