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Finding the Fourth Proportional to 291,533.76, 402,318 and 164,211.36

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Solution

The fourth proportional to 291,533.76, 402,318 and 164,211.36 is: 226,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,533.76 : 402,318 = 164,211.36 : x
  2. Step 2: Convert to fraction form
    291,533.76/402,318 = 164,211.36/x
  3. Step 3: Cross multiply
    291,533.76x = 402,318 × 164,211.36
  4. Step 4: Simplify right side
    291,533.76x = 66,065,185,932.48
  5. Step 5: Solve for x
    x = 66,065,185,932.48/291,533.76
  6. Step 6: Final answer
    x = 226,612.47

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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.