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Finding the Fourth Proportional to 433,751.94, 598,579.73 and 242,802.24

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Solution

The fourth proportional to 433,751.94, 598,579.73 and 242,802.24 is: 335,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,751.94 : 598,579.73 = 242,802.24 : x
  2. Step 2: Convert to fraction form
    433,751.94/598,579.73 = 242,802.24/x
  3. Step 3: Cross multiply
    433,751.94x = 598,579.73 × 242,802.24
  4. Step 4: Simplify right side
    433,751.94x = 145,336,499,262.60
  5. Step 5: Solve for x
    x = 145,336,499,262.60/433,751.94
  6. Step 6: Final answer
    x = 335,068.24

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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.