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Finding the Fourth Proportional to 301,818.52, 452,924.34 and 114,831.64

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Solution

The fourth proportional to 301,818.52, 452,924.34 and 114,831.64 is: 172,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,818.52 : 452,924.34 = 114,831.64 : x
  2. Step 2: Convert to fraction form
    301,818.52/452,924.34 = 114,831.64/x
  3. Step 3: Cross multiply
    301,818.52x = 452,924.34 × 114,831.64
  4. Step 4: Simplify right side
    301,818.52x = 52,010,044,758.12
  5. Step 5: Solve for x
    x = 52,010,044,758.12/301,818.52
  6. Step 6: Final answer
    x = 172,322.24

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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.