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Finding the Fourth Proportional to 357,066.15, 492,766.68 and 213,798.81

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Solution

The fourth proportional to 357,066.15, 492,766.68 and 213,798.81 is: 295,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,066.15 : 492,766.68 = 213,798.81 : x
  2. Step 2: Convert to fraction form
    357,066.15/492,766.68 = 213,798.81/x
  3. Step 3: Cross multiply
    357,066.15x = 492,766.68 × 213,798.81
  4. Step 4: Simplify right side
    357,066.15x = 105,352,929,791.65
  5. Step 5: Solve for x
    x = 105,352,929,791.65/357,066.15
  6. Step 6: Final answer
    x = 295,051.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.