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Finding the Fourth Proportional to 314,810.24, 434,388.80 and 180,648.32

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Solution

The fourth proportional to 314,810.24, 434,388.80 and 180,648.32 is: 249,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,810.24 : 434,388.80 = 180,648.32 : x
  2. Step 2: Convert to fraction form
    314,810.24/434,388.80 = 180,648.32/x
  3. Step 3: Cross multiply
    314,810.24x = 434,388.80 × 180,648.32
  4. Step 4: Simplify right side
    314,810.24x = 78,471,606,946.82
  5. Step 5: Solve for x
    x = 78,471,606,946.82/314,810.24
  6. Step 6: Final answer
    x = 249,266.37

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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.