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Finding the Fourth Proportional to 301,714.96, 416,320.36 and 174,365.96

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Solution

The fourth proportional to 301,714.96, 416,320.36 and 174,365.96 is: 240,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.96 : 416,320.36 = 174,365.96 : x
  2. Step 2: Convert to fraction form
    301,714.96/416,320.36 = 174,365.96/x
  3. Step 3: Cross multiply
    301,714.96x = 416,320.36 × 174,365.96
  4. Step 4: Simplify right side
    301,714.96x = 72,592,099,238.95
  5. Step 5: Solve for x
    x = 72,592,099,238.95/301,714.96
  6. Step 6: Final answer
    x = 240,598.28

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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.