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Finding the Fourth Proportional to 465,706.42, 698,830.68 and 195,815.01

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Solution

The fourth proportional to 465,706.42, 698,830.68 and 195,815.01 is: 293,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,706.42 : 698,830.68 = 195,815.01 : x
  2. Step 2: Convert to fraction form
    465,706.42/698,830.68 = 195,815.01/x
  3. Step 3: Cross multiply
    465,706.42x = 698,830.68 × 195,815.01
  4. Step 4: Simplify right side
    465,706.42x = 136,841,536,592.51
  5. Step 5: Solve for x
    x = 136,841,536,592.51/465,706.42
  6. Step 6: Final answer
    x = 293,836.48

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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.