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Finding the Fourth Proportional to 416,671.76, 624,883.80 and 176,782.16

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Solution

The fourth proportional to 416,671.76, 624,883.80 and 176,782.16 is: 265,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,671.76 : 624,883.80 = 176,782.16 : x
  2. Step 2: Convert to fraction form
    416,671.76/624,883.80 = 176,782.16/x
  3. Step 3: Cross multiply
    416,671.76x = 624,883.80 × 176,782.16
  4. Step 4: Simplify right side
    416,671.76x = 110,468,307,913.01
  5. Step 5: Solve for x
    x = 110,468,307,913.01/416,671.76
  6. Step 6: Final answer
    x = 265,120.70

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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.