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Finding the Fourth Proportional to 416,514.02, 624,795.23 and 117,017.93

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Solution

The fourth proportional to 416,514.02, 624,795.23 and 117,017.93 is: 175,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,514.02 : 624,795.23 = 117,017.93 : x
  2. Step 2: Convert to fraction form
    416,514.02/624,795.23 = 117,017.93/x
  3. Step 3: Cross multiply
    416,514.02x = 624,795.23 × 117,017.93
  4. Step 4: Simplify right side
    416,514.02x = 73,112,246,343.01
  5. Step 5: Solve for x
    x = 73,112,246,343.01/416,514.02
  6. Step 6: Final answer
    x = 175,533.70

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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.