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Finding the Fourth Proportional to 473,695.80, 710,198.10 and 193,068.60

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Solution

The fourth proportional to 473,695.80, 710,198.10 and 193,068.60 is: 289,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,695.80 : 710,198.10 = 193,068.60 : x
  2. Step 2: Convert to fraction form
    473,695.80/710,198.10 = 193,068.60/x
  3. Step 3: Cross multiply
    473,695.80x = 710,198.10 × 193,068.60
  4. Step 4: Simplify right side
    473,695.80x = 137,116,952,889.66
  5. Step 5: Solve for x
    x = 137,116,952,889.66/473,695.80
  6. Step 6: Final answer
    x = 289,462.04

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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.