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Finding the Fourth Proportional to 291,515.94, 402,297.12 and 164,196.06

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Solution

The fourth proportional to 291,515.94, 402,297.12 and 164,196.06 is: 226,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,515.94 : 402,297.12 = 164,196.06 : x
  2. Step 2: Convert to fraction form
    291,515.94/402,297.12 = 164,196.06/x
  3. Step 3: Cross multiply
    291,515.94x = 402,297.12 × 164,196.06
  4. Step 4: Simplify right side
    291,515.94x = 66,055,602,053.35
  5. Step 5: Solve for x
    x = 66,055,602,053.35/291,515.94
  6. Step 6: Final answer
    x = 226,593.45

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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.