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Finding the Fourth Proportional to 291,785.02, 402,666.40 and 164,460.62

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Solution

The fourth proportional to 291,785.02, 402,666.40 and 164,460.62 is: 226,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,785.02 : 402,666.40 = 164,460.62 : x
  2. Step 2: Convert to fraction form
    291,785.02/402,666.40 = 164,460.62/x
  3. Step 3: Cross multiply
    291,785.02x = 402,666.40 × 164,460.62
  4. Step 4: Simplify right side
    291,785.02x = 66,222,762,961.53
  5. Step 5: Solve for x
    x = 66,222,762,961.53/291,785.02
  6. Step 6: Final answer
    x = 226,957.38

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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.