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Finding the Fourth Proportional to 291,596.96, 402,333 and 164,272.40

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Solution

The fourth proportional to 291,596.96, 402,333 and 164,272.40 is: 226,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,596.96 : 402,333 = 164,272.40 : x
  2. Step 2: Convert to fraction form
    291,596.96/402,333 = 164,272.40/x
  3. Step 3: Cross multiply
    291,596.96x = 402,333 × 164,272.40
  4. Step 4: Simplify right side
    291,596.96x = 66,092,207,509.20
  5. Step 5: Solve for x
    x = 66,092,207,509.20/291,596.96
  6. Step 6: Final answer
    x = 226,656.02

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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.