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Finding the Fourth Proportional to 507,402, 700,214.76 and 281,062.08

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Solution

The fourth proportional to 507,402, 700,214.76 and 281,062.08 is: 387,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,402 : 700,214.76 = 281,062.08 : x
  2. Step 2: Convert to fraction form
    507,402/700,214.76 = 281,062.08/x
  3. Step 3: Cross multiply
    507,402x = 700,214.76 × 281,062.08
  4. Step 4: Simplify right side
    507,402x = 196,803,816,892.30
  5. Step 5: Solve for x
    x = 196,803,816,892.30/507,402
  6. Step 6: Final answer
    x = 387,865.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.