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Finding the Fourth Proportional to 535,098.66, 802,224.56 and 265,035.60

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Solution

The fourth proportional to 535,098.66, 802,224.56 and 265,035.60 is: 397,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,098.66 : 802,224.56 = 265,035.60 : x
  2. Step 2: Convert to fraction form
    535,098.66/802,224.56 = 265,035.60/x
  3. Step 3: Cross multiply
    535,098.66x = 802,224.56 × 265,035.60
  4. Step 4: Simplify right side
    535,098.66x = 212,618,066,269.16
  5. Step 5: Solve for x
    x = 212,618,066,269.16/535,098.66
  6. Step 6: Final answer
    x = 397,343.67

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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.