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Finding the Fourth Proportional to 416,830.16, 625,117.56 and 150,557.84

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Solution

The fourth proportional to 416,830.16, 625,117.56 and 150,557.84 is: 225,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,830.16 : 625,117.56 = 150,557.84 : x
  2. Step 2: Convert to fraction form
    416,830.16/625,117.56 = 150,557.84/x
  3. Step 3: Cross multiply
    416,830.16x = 625,117.56 × 150,557.84
  4. Step 4: Simplify right side
    416,830.16x = 94,116,349,579.67
  5. Step 5: Solve for x
    x = 94,116,349,579.67/416,830.16
  6. Step 6: Final answer
    x = 225,790.64

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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.