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Finding the Fourth Proportional to 412,309.63, 569,264.52 and 257,496.76

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Solution

The fourth proportional to 412,309.63, 569,264.52 and 257,496.76 is: 355,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,309.63 : 569,264.52 = 257,496.76 : x
  2. Step 2: Convert to fraction form
    412,309.63/569,264.52 = 257,496.76/x
  3. Step 3: Cross multiply
    412,309.63x = 569,264.52 × 257,496.76
  4. Step 4: Simplify right side
    412,309.63x = 146,583,769,482.96
  5. Step 5: Solve for x
    x = 146,583,769,482.96/412,309.63
  6. Step 6: Final answer
    x = 355,518.67

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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.