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Finding the Fourth Proportional to 567,425.76, 783,047.68 and 312,782.56

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Solution

The fourth proportional to 567,425.76, 783,047.68 and 312,782.56 is: 431,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,425.76 : 783,047.68 = 312,782.56 : x
  2. Step 2: Convert to fraction form
    567,425.76/783,047.68 = 312,782.56/x
  3. Step 3: Cross multiply
    567,425.76x = 783,047.68 × 312,782.56
  4. Step 4: Simplify right side
    567,425.76x = 244,923,657,952.46
  5. Step 5: Solve for x
    x = 244,923,657,952.46/567,425.76
  6. Step 6: Final answer
    x = 431,640.01

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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.