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Finding the Fourth Proportional to 495,410.40, 683,655.12 and 269,051.04

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Solution

The fourth proportional to 495,410.40, 683,655.12 and 269,051.04 is: 371,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,410.40 : 683,655.12 = 269,051.04 : x
  2. Step 2: Convert to fraction form
    495,410.40/683,655.12 = 269,051.04/x
  3. Step 3: Cross multiply
    495,410.40x = 683,655.12 × 269,051.04
  4. Step 4: Simplify right side
    495,410.40x = 183,938,121,037.33
  5. Step 5: Solve for x
    x = 183,938,121,037.33/495,410.40
  6. Step 6: Final answer
    x = 371,284.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.