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Finding the Fourth Proportional to 570,606, 787,643.64 and 332,142

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Solution

The fourth proportional to 570,606, 787,643.64 and 332,142 is: 458,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,606 : 787,643.64 = 332,142 : x
  2. Step 2: Convert to fraction form
    570,606/787,643.64 = 332,142/x
  3. Step 3: Cross multiply
    570,606x = 787,643.64 × 332,142
  4. Step 4: Simplify right side
    570,606x = 261,609,533,876.88
  5. Step 5: Solve for x
    x = 261,609,533,876.88/570,606
  6. Step 6: Final answer
    x = 458,476.66

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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.