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Finding the Fourth Proportional to 555,970.34, 767,242.86 and 301,325.78

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Solution

The fourth proportional to 555,970.34, 767,242.86 and 301,325.78 is: 415,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,970.34 : 767,242.86 = 301,325.78 : x
  2. Step 2: Convert to fraction form
    555,970.34/767,242.86 = 301,325.78/x
  3. Step 3: Cross multiply
    555,970.34x = 767,242.86 × 301,325.78
  4. Step 4: Simplify right side
    555,970.34x = 231,190,053,238.93
  5. Step 5: Solve for x
    x = 231,190,053,238.93/555,970.34
  6. Step 6: Final answer
    x = 415,831.63

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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.