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Finding the Fourth Proportional to 506,447.78, 698,844.59 and 302,470.39

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Solution

The fourth proportional to 506,447.78, 698,844.59 and 302,470.39 is: 417,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,447.78 : 698,844.59 = 302,470.39 : x
  2. Step 2: Convert to fraction form
    506,447.78/698,844.59 = 302,470.39/x
  3. Step 3: Cross multiply
    506,447.78x = 698,844.59 × 302,470.39
  4. Step 4: Simplify right side
    506,447.78x = 211,379,795,686.69
  5. Step 5: Solve for x
    x = 211,379,795,686.69/506,447.78
  6. Step 6: Final answer
    x = 417,377.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.