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Finding the Fourth Proportional to 770,032.64, 1,154,813.52 and 271,280

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Solution

The fourth proportional to 770,032.64, 1,154,813.52 and 271,280 is: 406,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,032.64 : 1,154,813.52 = 271,280 : x
  2. Step 2: Convert to fraction form
    770,032.64/1,154,813.52 = 271,280/x
  3. Step 3: Cross multiply
    770,032.64x = 1,154,813.52 × 271,280
  4. Step 4: Simplify right side
    770,032.64x = 313,277,811,705.60
  5. Step 5: Solve for x
    x = 313,277,811,705.60/770,032.64
  6. Step 6: Final answer
    x = 406,837.06

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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.