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Finding the Fourth Proportional to 412,703.64, 569,554.74 and 231,473.70

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Solution

The fourth proportional to 412,703.64, 569,554.74 and 231,473.70 is: 319,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,703.64 : 569,554.74 = 231,473.70 : x
  2. Step 2: Convert to fraction form
    412,703.64/569,554.74 = 231,473.70/x
  3. Step 3: Cross multiply
    412,703.64x = 569,554.74 × 231,473.70
  4. Step 4: Simplify right side
    412,703.64x = 131,836,943,020.34
  5. Step 5: Solve for x
    x = 131,836,943,020.34/412,703.64
  6. Step 6: Final answer
    x = 319,447.01

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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.