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Finding the Fourth Proportional to 333,566.40, 460,322.32 and 180,606.24

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Solution

The fourth proportional to 333,566.40, 460,322.32 and 180,606.24 is: 249,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,566.40 : 460,322.32 = 180,606.24 : x
  2. Step 2: Convert to fraction form
    333,566.40/460,322.32 = 180,606.24/x
  3. Step 3: Cross multiply
    333,566.40x = 460,322.32 × 180,606.24
  4. Step 4: Simplify right side
    333,566.40x = 83,137,083,403.28
  5. Step 5: Solve for x
    x = 83,137,083,403.28/333,566.40
  6. Step 6: Final answer
    x = 249,236.98

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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.