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Finding the Fourth Proportional to 412,748.34, 569,598.80 and 240,661.68

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Solution

The fourth proportional to 412,748.34, 569,598.80 and 240,661.68 is: 332,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,748.34 : 569,598.80 = 240,661.68 : x
  2. Step 2: Convert to fraction form
    412,748.34/569,598.80 = 240,661.68/x
  3. Step 3: Cross multiply
    412,748.34x = 569,598.80 × 240,661.68
  4. Step 4: Simplify right side
    412,748.34x = 137,080,602,930.68
  5. Step 5: Solve for x
    x = 137,080,602,930.68/412,748.34
  6. Step 6: Final answer
    x = 332,116.67

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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.