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Finding the Fourth Proportional to 417,141.90, 625,669.52 and 283,066.65

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Solution

The fourth proportional to 417,141.90, 625,669.52 and 283,066.65 is: 424,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,141.90 : 625,669.52 = 283,066.65 : x
  2. Step 2: Convert to fraction form
    417,141.90/625,669.52 = 283,066.65/x
  3. Step 3: Cross multiply
    417,141.90x = 625,669.52 × 283,066.65
  4. Step 4: Simplify right side
    417,141.90x = 177,106,173,618.18
  5. Step 5: Solve for x
    x = 177,106,173,618.18/417,141.90
  6. Step 6: Final answer
    x = 424,570.57

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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.