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Finding the Fourth Proportional to 433,784.64, 598,622.64 and 242,797.98

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Solution

The fourth proportional to 433,784.64, 598,622.64 and 242,797.98 is: 335,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,784.64 : 598,622.64 = 242,797.98 : x
  2. Step 2: Convert to fraction form
    433,784.64/598,622.64 = 242,797.98/x
  3. Step 3: Cross multiply
    433,784.64x = 598,622.64 × 242,797.98
  4. Step 4: Simplify right side
    433,784.64x = 145,344,367,774.27
  5. Step 5: Solve for x
    x = 145,344,367,774.27/433,784.64
  6. Step 6: Final answer
    x = 335,061.12

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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.