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Finding the Fourth Proportional to 298,798.02, 412,341.26 and 162,831.91

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Solution

The fourth proportional to 298,798.02, 412,341.26 and 162,831.91 is: 224,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,798.02 : 412,341.26 = 162,831.91 : x
  2. Step 2: Convert to fraction form
    298,798.02/412,341.26 = 162,831.91/x
  3. Step 3: Cross multiply
    298,798.02x = 412,341.26 × 162,831.91
  4. Step 4: Simplify right side
    298,798.02x = 67,142,314,937.61
  5. Step 5: Solve for x
    x = 67,142,314,937.61/298,798.02
  6. Step 6: Final answer
    x = 224,708.03

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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.