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Finding the Fourth Proportional to 461,518.62, 692,316.81 and 145,968.54

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Solution

The fourth proportional to 461,518.62, 692,316.81 and 145,968.54 is: 218,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,518.62 : 692,316.81 = 145,968.54 : x
  2. Step 2: Convert to fraction form
    461,518.62/692,316.81 = 145,968.54/x
  3. Step 3: Cross multiply
    461,518.62x = 692,316.81 × 145,968.54
  4. Step 4: Simplify right side
    461,518.62x = 101,056,473,973.16
  5. Step 5: Solve for x
    x = 101,056,473,973.16/461,518.62
  6. Step 6: Final answer
    x = 218,965.11

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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.