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Finding the Fourth Proportional to 357,784.28, 493,536.71 and 223,415

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Solution

The fourth proportional to 357,784.28, 493,536.71 and 223,415 is: 308,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,784.28 : 493,536.71 = 223,415 : x
  2. Step 2: Convert to fraction form
    357,784.28/493,536.71 = 223,415/x
  3. Step 3: Cross multiply
    357,784.28x = 493,536.71 × 223,415
  4. Step 4: Simplify right side
    357,784.28x = 110,263,504,064.65
  5. Step 5: Solve for x
    x = 110,263,504,064.65/357,784.28
  6. Step 6: Final answer
    x = 308,184.32

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