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Finding the Fourth Proportional to 1,270,719.18, 1,905,655.91 and 512,364.78

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Solution

The fourth proportional to 1,270,719.18, 1,905,655.91 and 512,364.78 is: 768,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,719.18 : 1,905,655.91 = 512,364.78 : x
  2. Step 2: Convert to fraction form
    1,270,719.18/1,905,655.91 = 512,364.78/x
  3. Step 3: Cross multiply
    1,270,719.18x = 1,905,655.91 × 512,364.78
  4. Step 4: Simplify right side
    1,270,719.18x = 976,390,968,521.03
  5. Step 5: Solve for x
    x = 976,390,968,521.03/1,270,719.18
  6. Step 6: Final answer
    x = 768,376.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.