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Finding the Fourth Proportional to 412,627.10, 569,424.90 and 231,339.08

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Solution

The fourth proportional to 412,627.10, 569,424.90 and 231,339.08 is: 319,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,627.10 : 569,424.90 = 231,339.08 : x
  2. Step 2: Convert to fraction form
    412,627.10/569,424.90 = 231,339.08/x
  3. Step 3: Cross multiply
    412,627.10x = 569,424.90 × 231,339.08
  4. Step 4: Simplify right side
    412,627.10x = 131,730,232,495.09
  5. Step 5: Solve for x
    x = 131,730,232,495.09/412,627.10
  6. Step 6: Final answer
    x = 319,247.65

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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.