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Finding the Fourth Proportional to 602,103.60, 830,940.24 and 333,831.60

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Solution

The fourth proportional to 602,103.60, 830,940.24 and 333,831.60 is: 460,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,103.60 : 830,940.24 = 333,831.60 : x
  2. Step 2: Convert to fraction form
    602,103.60/830,940.24 = 333,831.60/x
  3. Step 3: Cross multiply
    602,103.60x = 830,940.24 × 333,831.60
  4. Step 4: Simplify right side
    602,103.60x = 277,394,109,823.58
  5. Step 5: Solve for x
    x = 277,394,109,823.58/602,103.60
  6. Step 6: Final answer
    x = 460,708.27

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1.5x scale

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.