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Finding the Fourth Proportional to 464,114.45, 640,354.47 and 267,831.20

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Solution

The fourth proportional to 464,114.45, 640,354.47 and 267,831.20 is: 369,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,114.45 : 640,354.47 = 267,831.20 : x
  2. Step 2: Convert to fraction form
    464,114.45/640,354.47 = 267,831.20/x
  3. Step 3: Cross multiply
    464,114.45x = 640,354.47 × 267,831.20
  4. Step 4: Simplify right side
    464,114.45x = 171,506,906,125.46
  5. Step 5: Solve for x
    x = 171,506,906,125.46/464,114.45
  6. Step 6: Final answer
    x = 369,535.80

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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.