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Finding the Fourth Proportional to 476,085.60, 714,127.68 and 195,405.12

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Solution

The fourth proportional to 476,085.60, 714,127.68 and 195,405.12 is: 293,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,085.60 : 714,127.68 = 195,405.12 : x
  2. Step 2: Convert to fraction form
    476,085.60/714,127.68 = 195,405.12/x
  3. Step 3: Cross multiply
    476,085.60x = 714,127.68 × 195,405.12
  4. Step 4: Simplify right side
    476,085.60x = 139,544,205,005.72
  5. Step 5: Solve for x
    x = 139,544,205,005.72/476,085.60
  6. Step 6: Final answer
    x = 293,107.38

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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.