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Finding the Fourth Proportional to 735,580, 1,103,368.32 and 195,836.40

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Solution

The fourth proportional to 735,580, 1,103,368.32 and 195,836.40 is: 293,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,580 : 1,103,368.32 = 195,836.40 : x
  2. Step 2: Convert to fraction form
    735,580/1,103,368.32 = 195,836.40/x
  3. Step 3: Cross multiply
    735,580x = 1,103,368.32 × 195,836.40
  4. Step 4: Simplify right side
    735,580x = 216,079,679,662.85
  5. Step 5: Solve for x
    x = 216,079,679,662.85/735,580
  6. Step 6: Final answer
    x = 293,754.15

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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.