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Finding the Fourth Proportional to 416,931.40, 624,959.70 and 164,114.20

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Solution

The fourth proportional to 416,931.40, 624,959.70 and 164,114.20 is: 245,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,931.40 : 624,959.70 = 164,114.20 : x
  2. Step 2: Convert to fraction form
    416,931.40/624,959.70 = 164,114.20/x
  3. Step 3: Cross multiply
    416,931.40x = 624,959.70 × 164,114.20
  4. Step 4: Simplify right side
    416,931.40x = 102,564,761,197.74
  5. Step 5: Solve for x
    x = 102,564,761,197.74/416,931.40
  6. Step 6: Final answer
    x = 245,999.13

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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.