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Finding the Fourth Proportional to 301,714.52, 416,440.86 and 174,371.72

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Solution

The fourth proportional to 301,714.52, 416,440.86 and 174,371.72 is: 240,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.52 : 416,440.86 = 174,371.72 : x
  2. Step 2: Convert to fraction form
    301,714.52/416,440.86 = 174,371.72/x
  3. Step 3: Cross multiply
    301,714.52x = 416,440.86 × 174,371.72
  4. Step 4: Simplify right side
    301,714.52x = 72,615,509,036.48
  5. Step 5: Solve for x
    x = 72,615,509,036.48/301,714.52
  6. Step 6: Final answer
    x = 240,676.22

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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.