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Finding the Fourth Proportional to 292,070.70, 403,050.12 and 164,736.24

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Solution

The fourth proportional to 292,070.70, 403,050.12 and 164,736.24 is: 227,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,070.70 : 403,050.12 = 164,736.24 : x
  2. Step 2: Convert to fraction form
    292,070.70/403,050.12 = 164,736.24/x
  3. Step 3: Cross multiply
    292,070.70x = 403,050.12 × 164,736.24
  4. Step 4: Simplify right side
    292,070.70x = 66,396,961,300.35
  5. Step 5: Solve for x
    x = 66,396,961,300.35/292,070.70
  6. Step 6: Final answer
    x = 227,331.81

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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.