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Finding the Fourth Proportional to 272,912.60, 409,368.90 and 260,665.40

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Solution

The fourth proportional to 272,912.60, 409,368.90 and 260,665.40 is: 390,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,912.60 : 409,368.90 = 260,665.40 : x
  2. Step 2: Convert to fraction form
    272,912.60/409,368.90 = 260,665.40/x
  3. Step 3: Cross multiply
    272,912.60x = 409,368.90 × 260,665.40
  4. Step 4: Simplify right side
    272,912.60x = 106,708,308,066.06
  5. Step 5: Solve for x
    x = 106,708,308,066.06/272,912.60
  6. Step 6: Final answer
    x = 390,998.10

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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.