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Finding the Fourth Proportional to 430,622.94, 593,643.72 and 302,902.14

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Solution

The fourth proportional to 430,622.94, 593,643.72 and 302,902.14 is: 417,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,622.94 : 593,643.72 = 302,902.14 : x
  2. Step 2: Convert to fraction form
    430,622.94/593,643.72 = 302,902.14/x
  3. Step 3: Cross multiply
    430,622.94x = 593,643.72 × 302,902.14
  4. Step 4: Simplify right side
    430,622.94x = 179,815,953,185.56
  5. Step 5: Solve for x
    x = 179,815,953,185.56/430,622.94
  6. Step 6: Final answer
    x = 417,571.70

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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.