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Finding the Fourth Proportional to 292,846.14, 404,094.30 and 165,521.40

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Solution

The fourth proportional to 292,846.14, 404,094.30 and 165,521.40 is: 228,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,846.14 : 404,094.30 = 165,521.40 : x
  2. Step 2: Convert to fraction form
    292,846.14/404,094.30 = 165,521.40/x
  3. Step 3: Cross multiply
    292,846.14x = 404,094.30 × 165,521.40
  4. Step 4: Simplify right side
    292,846.14x = 66,886,254,268.02
  5. Step 5: Solve for x
    x = 66,886,254,268.02/292,846.14
  6. Step 6: Final answer
    x = 228,400.67

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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.