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Finding the Fourth Proportional to 301,676.68, 416,455.32 and 174,327.40

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Solution

The fourth proportional to 301,676.68, 416,455.32 and 174,327.40 is: 240,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,676.68 : 416,455.32 = 174,327.40 : x
  2. Step 2: Convert to fraction form
    301,676.68/416,455.32 = 174,327.40/x
  3. Step 3: Cross multiply
    301,676.68x = 416,455.32 × 174,327.40
  4. Step 4: Simplify right side
    301,676.68x = 72,599,573,151.77
  5. Step 5: Solve for x
    x = 72,599,573,151.77/301,676.68
  6. Step 6: Final answer
    x = 240,653.58

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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.