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Finding the Fourth Proportional to 540,256.38, 745,598.70 and 298,586.13

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Solution

The fourth proportional to 540,256.38, 745,598.70 and 298,586.13 is: 412,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,256.38 : 745,598.70 = 298,586.13 : x
  2. Step 2: Convert to fraction form
    540,256.38/745,598.70 = 298,586.13/x
  3. Step 3: Cross multiply
    540,256.38x = 745,598.70 × 298,586.13
  4. Step 4: Simplify right side
    540,256.38x = 222,625,430,366.03
  5. Step 5: Solve for x
    x = 222,625,430,366.03/540,256.38
  6. Step 6: Final answer
    x = 412,073.67

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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.