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Finding the Fourth Proportional to 412,339.44, 569,014.65 and 228,570.30

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Solution

The fourth proportional to 412,339.44, 569,014.65 and 228,570.30 is: 315,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,339.44 : 569,014.65 = 228,570.30 : x
  2. Step 2: Convert to fraction form
    412,339.44/569,014.65 = 228,570.30/x
  3. Step 3: Cross multiply
    412,339.44x = 569,014.65 × 228,570.30
  4. Step 4: Simplify right side
    412,339.44x = 130,059,849,254.90
  5. Step 5: Solve for x
    x = 130,059,849,254.90/412,339.44
  6. Step 6: Final answer
    x = 315,419.38

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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.