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Finding the Fourth Proportional to 667,402, 1,001,094.96 and 268,035.60

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Solution

The fourth proportional to 667,402, 1,001,094.96 and 268,035.60 is: 402,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,402 : 1,001,094.96 = 268,035.60 : x
  2. Step 2: Convert to fraction form
    667,402/1,001,094.96 = 268,035.60/x
  3. Step 3: Cross multiply
    667,402x = 1,001,094.96 × 268,035.60
  4. Step 4: Simplify right side
    667,402x = 268,329,088,260.58
  5. Step 5: Solve for x
    x = 268,329,088,260.58/667,402
  6. Step 6: Final answer
    x = 402,050.17

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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.