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Finding the Fourth Proportional to 494,791.22, 742,307.72 and 157,831.93

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Solution

The fourth proportional to 494,791.22, 742,307.72 and 157,831.93 is: 236,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,791.22 : 742,307.72 = 157,831.93 : x
  2. Step 2: Convert to fraction form
    494,791.22/742,307.72 = 157,831.93/x
  3. Step 3: Cross multiply
    494,791.22x = 742,307.72 × 157,831.93
  4. Step 4: Simplify right side
    494,791.22x = 117,159,860,101.50
  5. Step 5: Solve for x
    x = 117,159,860,101.50/494,791.22
  6. Step 6: Final answer
    x = 236,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.