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Finding the Fourth Proportional to 416,692.16, 625,038.47 and 117,172.74

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Solution

The fourth proportional to 416,692.16, 625,038.47 and 117,172.74 is: 175,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,692.16 : 625,038.47 = 117,172.74 : x
  2. Step 2: Convert to fraction form
    416,692.16/625,038.47 = 117,172.74/x
  3. Step 3: Cross multiply
    416,692.16x = 625,038.47 × 117,172.74
  4. Step 4: Simplify right side
    416,692.16x = 73,237,470,135.31
  5. Step 5: Solve for x
    x = 73,237,470,135.31/416,692.16
  6. Step 6: Final answer
    x = 175,759.17

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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.