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Finding the Fourth Proportional to 708,911.62, 978,259.14 and 402,945.46

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Solution

The fourth proportional to 708,911.62, 978,259.14 and 402,945.46 is: 556,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,911.62 : 978,259.14 = 402,945.46 : x
  2. Step 2: Convert to fraction form
    708,911.62/978,259.14 = 402,945.46/x
  3. Step 3: Cross multiply
    708,911.62x = 978,259.14 × 402,945.46
  4. Step 4: Simplify right side
    708,911.62x = 394,185,076,720.86
  5. Step 5: Solve for x
    x = 394,185,076,720.86/708,911.62
  6. Step 6: Final answer
    x = 556,042.63

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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.