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Finding the Fourth Proportional to 296,492.40, 444,809.40 and 96,813.16

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Solution

The fourth proportional to 296,492.40, 444,809.40 and 96,813.16 is: 145,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,492.40 : 444,809.40 = 96,813.16 : x
  2. Step 2: Convert to fraction form
    296,492.40/444,809.40 = 96,813.16/x
  3. Step 3: Cross multiply
    296,492.40x = 444,809.40 × 96,813.16
  4. Step 4: Simplify right side
    296,492.40x = 43,063,403,611.70
  5. Step 5: Solve for x
    x = 43,063,403,611.70/296,492.40
  6. Step 6: Final answer
    x = 145,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.