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Finding the Fourth Proportional to 475,941.16, 713,914.17 and 160,400.80

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Solution

The fourth proportional to 475,941.16, 713,914.17 and 160,400.80 is: 240,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,941.16 : 713,914.17 = 160,400.80 : x
  2. Step 2: Convert to fraction form
    475,941.16/713,914.17 = 160,400.80/x
  3. Step 3: Cross multiply
    475,941.16x = 713,914.17 × 160,400.80
  4. Step 4: Simplify right side
    475,941.16x = 114,512,403,999.34
  5. Step 5: Solve for x
    x = 114,512,403,999.34/475,941.16
  6. Step 6: Final answer
    x = 240,602.02

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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.