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Finding the Fourth Proportional to 416,095.60, 624,359.40 and 194,479.60

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Solution

The fourth proportional to 416,095.60, 624,359.40 and 194,479.60 is: 291,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,095.60 : 624,359.40 = 194,479.60 : x
  2. Step 2: Convert to fraction form
    416,095.60/624,359.40 = 194,479.60/x
  3. Step 3: Cross multiply
    416,095.60x = 624,359.40 × 194,479.60
  4. Step 4: Simplify right side
    416,095.60x = 121,425,166,368.24
  5. Step 5: Solve for x
    x = 121,425,166,368.24/416,095.60
  6. Step 6: Final answer
    x = 291,820.36

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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.