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Finding the Fourth Proportional to 333,634.32, 460,416.61 and 180,672.58

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Solution

The fourth proportional to 333,634.32, 460,416.61 and 180,672.58 is: 249,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,634.32 : 460,416.61 = 180,672.58 : x
  2. Step 2: Convert to fraction form
    333,634.32/460,416.61 = 180,672.58/x
  3. Step 3: Cross multiply
    333,634.32x = 460,416.61 × 180,672.58
  4. Step 4: Simplify right side
    333,634.32x = 83,184,656,803.55
  5. Step 5: Solve for x
    x = 83,184,656,803.55/333,634.32
  6. Step 6: Final answer
    x = 249,328.84

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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.