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Finding the Fourth Proportional to 496,378.84, 683,273.46 and 432,607

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Solution

The fourth proportional to 496,378.84, 683,273.46 and 432,607 is: 595,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,378.84 : 683,273.46 = 432,607 : x
  2. Step 2: Convert to fraction form
    496,378.84/683,273.46 = 432,607/x
  3. Step 3: Cross multiply
    496,378.84x = 683,273.46 × 432,607
  4. Step 4: Simplify right side
    496,378.84x = 295,588,881,710.22
  5. Step 5: Solve for x
    x = 295,588,881,710.22/496,378.84
  6. Step 6: Final answer
    x = 595,490.50

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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.