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Finding the Fourth Proportional to 712,053.70, 982,635.58 and 389,784.38

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Solution

The fourth proportional to 712,053.70, 982,635.58 and 389,784.38 is: 537,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,053.70 : 982,635.58 = 389,784.38 : x
  2. Step 2: Convert to fraction form
    712,053.70/982,635.58 = 389,784.38/x
  3. Step 3: Cross multiply
    712,053.70x = 982,635.58 × 389,784.38
  4. Step 4: Simplify right side
    712,053.70x = 383,016,000,316.24
  5. Step 5: Solve for x
    x = 383,016,000,316.24/712,053.70
  6. Step 6: Final answer
    x = 537,903.25

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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.