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Finding the Fourth Proportional to 338,094.44, 507,147.42 and 127,831.40

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Solution

The fourth proportional to 338,094.44, 507,147.42 and 127,831.40 is: 191,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,094.44 : 507,147.42 = 127,831.40 : x
  2. Step 2: Convert to fraction form
    338,094.44/507,147.42 = 127,831.40/x
  3. Step 3: Cross multiply
    338,094.44x = 507,147.42 × 127,831.40
  4. Step 4: Simplify right side
    338,094.44x = 64,829,364,704.99
  5. Step 5: Solve for x
    x = 64,829,364,704.99/338,094.44
  6. Step 6: Final answer
    x = 191,749.28

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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.