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Finding the Fourth Proportional to 298,256.17, 411,598.44 and 162,290.81

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Solution

The fourth proportional to 298,256.17, 411,598.44 and 162,290.81 is: 223,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,256.17 : 411,598.44 = 162,290.81 : x
  2. Step 2: Convert to fraction form
    298,256.17/411,598.44 = 162,290.81/x
  3. Step 3: Cross multiply
    298,256.17x = 411,598.44 × 162,290.81
  4. Step 4: Simplify right side
    298,256.17x = 66,798,642,559.04
  5. Step 5: Solve for x
    x = 66,798,642,559.04/298,256.17
  6. Step 6: Final answer
    x = 223,963.99

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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.