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Finding the Fourth Proportional to 298,157.95, 411,457.66 and 162,191.58

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Solution

The fourth proportional to 298,157.95, 411,457.66 and 162,191.58 is: 223,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,157.95 : 411,457.66 = 162,191.58 : x
  2. Step 2: Convert to fraction form
    298,157.95/411,457.66 = 162,191.58/x
  3. Step 3: Cross multiply
    298,157.95x = 411,457.66 × 162,191.58
  4. Step 4: Simplify right side
    298,157.95x = 66,734,966,681.59
  5. Step 5: Solve for x
    x = 66,734,966,681.59/298,157.95
  6. Step 6: Final answer
    x = 223,824.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.