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Finding the Fourth Proportional to 291,606.56, 402,412.56 and 164,294.24

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Solution

The fourth proportional to 291,606.56, 402,412.56 and 164,294.24 is: 226,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,606.56 : 402,412.56 = 164,294.24 : x
  2. Step 2: Convert to fraction form
    291,606.56/402,412.56 = 164,294.24/x
  3. Step 3: Cross multiply
    291,606.56x = 402,412.56 × 164,294.24
  4. Step 4: Simplify right side
    291,606.56x = 66,114,065,711.65
  5. Step 5: Solve for x
    x = 66,114,065,711.65/291,606.56
  6. Step 6: Final answer
    x = 226,723.52

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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.