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Finding the Fourth Proportional to 433,444.50, 598,153.41 and 282,541.50

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Solution

The fourth proportional to 433,444.50, 598,153.41 and 282,541.50 is: 389,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,444.50 : 598,153.41 = 282,541.50 : x
  2. Step 2: Convert to fraction form
    433,444.50/598,153.41 = 282,541.50/x
  3. Step 3: Cross multiply
    433,444.50x = 598,153.41 × 282,541.50
  4. Step 4: Simplify right side
    433,444.50x = 169,003,161,691.52
  5. Step 5: Solve for x
    x = 169,003,161,691.52/433,444.50
  6. Step 6: Final answer
    x = 389,907.27

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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.