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Finding the Fourth Proportional to 567,475.81, 783,335.21 and 415,719.30

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Solution

The fourth proportional to 567,475.81, 783,335.21 and 415,719.30 is: 573,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,475.81 : 783,335.21 = 415,719.30 : x
  2. Step 2: Convert to fraction form
    567,475.81/783,335.21 = 415,719.30/x
  3. Step 3: Cross multiply
    567,475.81x = 783,335.21 × 415,719.30
  4. Step 4: Simplify right side
    567,475.81x = 325,647,566,025.46
  5. Step 5: Solve for x
    x = 325,647,566,025.46/567,475.81
  6. Step 6: Final answer
    x = 573,852.77

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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.