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Finding the Fourth Proportional to 296,987.60, 409,835.40 and 162,851.60

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Solution

The fourth proportional to 296,987.60, 409,835.40 and 162,851.60 is: 224,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,987.60 : 409,835.40 = 162,851.60 : x
  2. Step 2: Convert to fraction form
    296,987.60/409,835.40 = 162,851.60/x
  3. Step 3: Cross multiply
    296,987.60x = 409,835.40 × 162,851.60
  4. Step 4: Simplify right side
    296,987.60x = 66,742,350,626.64
  5. Step 5: Solve for x
    x = 66,742,350,626.64/296,987.60
  6. Step 6: Final answer
    x = 224,731.10

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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.