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Finding the Fourth Proportional to 277,990.32, 417,009.96 and 78,312.36

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Solution

The fourth proportional to 277,990.32, 417,009.96 and 78,312.36 is: 117,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,990.32 : 417,009.96 = 78,312.36 : x
  2. Step 2: Convert to fraction form
    277,990.32/417,009.96 = 78,312.36/x
  3. Step 3: Cross multiply
    277,990.32x = 417,009.96 × 78,312.36
  4. Step 4: Simplify right side
    277,990.32x = 32,657,034,111.11
  5. Step 5: Solve for x
    x = 32,657,034,111.11/277,990.32
  6. Step 6: Final answer
    x = 117,475.44

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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.