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Finding the Fourth Proportional to 475,944.84, 713,444.06 and 238,563

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Solution

The fourth proportional to 475,944.84, 713,444.06 and 238,563 is: 357,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,944.84 : 713,444.06 = 238,563 : x
  2. Step 2: Convert to fraction form
    475,944.84/713,444.06 = 238,563/x
  3. Step 3: Cross multiply
    475,944.84x = 713,444.06 × 238,563
  4. Step 4: Simplify right side
    475,944.84x = 170,201,355,285.78
  5. Step 5: Solve for x
    x = 170,201,355,285.78/475,944.84
  6. Step 6: Final answer
    x = 357,607.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.