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Finding the Fourth Proportional to 462,970.39, 638,923.95 and 259,009.15

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Solution

The fourth proportional to 462,970.39, 638,923.95 and 259,009.15 is: 357,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,970.39 : 638,923.95 = 259,009.15 : x
  2. Step 2: Convert to fraction form
    462,970.39/638,923.95 = 259,009.15/x
  3. Step 3: Cross multiply
    462,970.39x = 638,923.95 × 259,009.15
  4. Step 4: Simplify right side
    462,970.39x = 165,487,146,657.05
  5. Step 5: Solve for x
    x = 165,487,146,657.05/462,970.39
  6. Step 6: Final answer
    x = 357,446.50

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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.