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Finding the Fourth Proportional to 538,440.60, 807,653.70 and 164,465.40

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Solution

The fourth proportional to 538,440.60, 807,653.70 and 164,465.40 is: 246,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,440.60 : 807,653.70 = 164,465.40 : x
  2. Step 2: Convert to fraction form
    538,440.60/807,653.70 = 164,465.40/x
  3. Step 3: Cross multiply
    538,440.60x = 807,653.70 × 164,465.40
  4. Step 4: Simplify right side
    538,440.60x = 132,831,088,831.98
  5. Step 5: Solve for x
    x = 132,831,088,831.98/538,440.60
  6. Step 6: Final answer
    x = 246,695.90

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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.