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Finding the Fourth Proportional to 417,560.18, 626,334.79 and 102,019.82

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Solution

The fourth proportional to 417,560.18, 626,334.79 and 102,019.82 is: 153,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,560.18 : 626,334.79 = 102,019.82 : x
  2. Step 2: Convert to fraction form
    417,560.18/626,334.79 = 102,019.82/x
  3. Step 3: Cross multiply
    417,560.18x = 626,334.79 × 102,019.82
  4. Step 4: Simplify right side
    417,560.18x = 63,898,559,403.86
  5. Step 5: Solve for x
    x = 63,898,559,403.86/417,560.18
  6. Step 6: Final answer
    x = 153,028.39

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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.