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Finding the Fourth Proportional to 312,565, 468,925.26 and 90,949

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Solution

The fourth proportional to 312,565, 468,925.26 and 90,949 is: 136,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,565 : 468,925.26 = 90,949 : x
  2. Step 2: Convert to fraction form
    312,565/468,925.26 = 90,949/x
  3. Step 3: Cross multiply
    312,565x = 468,925.26 × 90,949
  4. Step 4: Simplify right side
    312,565x = 42,648,283,471.74
  5. Step 5: Solve for x
    x = 42,648,283,471.74/312,565
  6. Step 6: Final answer
    x = 136,446.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.