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Finding the Fourth Proportional to 598,773.24, 824,903.46 and 417,156.66

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Solution

The fourth proportional to 598,773.24, 824,903.46 and 417,156.66 is: 574,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,773.24 : 824,903.46 = 417,156.66 : x
  2. Step 2: Convert to fraction form
    598,773.24/824,903.46 = 417,156.66/x
  3. Step 3: Cross multiply
    598,773.24x = 824,903.46 × 417,156.66
  4. Step 4: Simplify right side
    598,773.24x = 344,113,972,196.04
  5. Step 5: Solve for x
    x = 344,113,972,196.04/598,773.24
  6. Step 6: Final answer
    x = 574,698.32

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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.