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Finding the Fourth Proportional to 314,340.64, 433,782.48 and 180,196

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Solution

The fourth proportional to 314,340.64, 433,782.48 and 180,196 is: 248,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,340.64 : 433,782.48 = 180,196 : x
  2. Step 2: Convert to fraction form
    314,340.64/433,782.48 = 180,196/x
  3. Step 3: Cross multiply
    314,340.64x = 433,782.48 × 180,196
  4. Step 4: Simplify right side
    314,340.64x = 78,165,867,766.08
  5. Step 5: Solve for x
    x = 78,165,867,766.08/314,340.64
  6. Step 6: Final answer
    x = 248,666.12

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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.