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Finding the Fourth Proportional to 476,543.80, 714,621.30 and 160,838.20

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Solution

The fourth proportional to 476,543.80, 714,621.30 and 160,838.20 is: 241,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,543.80 : 714,621.30 = 160,838.20 : x
  2. Step 2: Convert to fraction form
    476,543.80/714,621.30 = 160,838.20/x
  3. Step 3: Cross multiply
    476,543.80x = 714,621.30 × 160,838.20
  4. Step 4: Simplify right side
    476,543.80x = 114,938,403,573.66
  5. Step 5: Solve for x
    x = 114,938,403,573.66/476,543.80
  6. Step 6: Final answer
    x = 241,191.69

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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.