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Finding the Fourth Proportional to 736,765.76, 1,016,735.12 and 414,476

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Solution

The fourth proportional to 736,765.76, 1,016,735.12 and 414,476 is: 571,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,765.76 : 1,016,735.12 = 414,476 : x
  2. Step 2: Convert to fraction form
    736,765.76/1,016,735.12 = 414,476/x
  3. Step 3: Cross multiply
    736,765.76x = 1,016,735.12 × 414,476
  4. Step 4: Simplify right side
    736,765.76x = 421,412,305,597.12
  5. Step 5: Solve for x
    x = 421,412,305,597.12/736,765.76
  6. Step 6: Final answer
    x = 571,975.96

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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.