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Finding the Fourth Proportional to 301,300.32, 452,098.80 and 213,120.48

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Solution

The fourth proportional to 301,300.32, 452,098.80 and 213,120.48 is: 319,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,300.32 : 452,098.80 = 213,120.48 : x
  2. Step 2: Convert to fraction form
    301,300.32/452,098.80 = 213,120.48/x
  3. Step 3: Cross multiply
    301,300.32x = 452,098.80 × 213,120.48
  4. Step 4: Simplify right side
    301,300.32x = 96,351,513,263.42
  5. Step 5: Solve for x
    x = 96,351,513,263.42/301,300.32
  6. Step 6: Final answer
    x = 319,785.63

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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.