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Finding the Fourth Proportional to 272,973.60, 409,071.60 and 201,337.20

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Solution

The fourth proportional to 272,973.60, 409,071.60 and 201,337.20 is: 301,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,973.60 : 409,071.60 = 201,337.20 : x
  2. Step 2: Convert to fraction form
    272,973.60/409,071.60 = 201,337.20/x
  3. Step 3: Cross multiply
    272,973.60x = 409,071.60 × 201,337.20
  4. Step 4: Simplify right side
    272,973.60x = 82,361,330,543.52
  5. Step 5: Solve for x
    x = 82,361,330,543.52/272,973.60
  6. Step 6: Final answer
    x = 301,719.03

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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.