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Finding the Fourth Proportional to 3,437,642.16, 4,742,287.56 and 2,290,254.48

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Solution

The fourth proportional to 3,437,642.16, 4,742,287.56 and 2,290,254.48 is: 3,159,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,642.16 : 4,742,287.56 = 2,290,254.48 : x
  2. Step 2: Convert to fraction form
    3,437,642.16/4,742,287.56 = 2,290,254.48/x
  3. Step 3: Cross multiply
    3,437,642.16x = 4,742,287.56 × 2,290,254.48
  4. Step 4: Simplify right side
    3,437,642.16x = 10,861,045,329,738.27
  5. Step 5: Solve for x
    x = 10,861,045,329,738.27/3,437,642.16
  6. Step 6: Final answer
    x = 3,159,446.16

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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.