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Finding the Fourth Proportional to 4,652,551.91, 6,978,830.30 and 1,457,928.11

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Solution

The fourth proportional to 4,652,551.91, 6,978,830.30 and 1,457,928.11 is: 2,186,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,551.91 : 6,978,830.30 = 1,457,928.11 : x
  2. Step 2: Convert to fraction form
    4,652,551.91/6,978,830.30 = 1,457,928.11/x
  3. Step 3: Cross multiply
    4,652,551.91x = 6,978,830.30 × 1,457,928.11
  4. Step 4: Simplify right side
    4,652,551.91x = 10,174,632,884,914.40
  5. Step 5: Solve for x
    x = 10,174,632,884,914.40/4,652,551.91
  6. Step 6: Final answer
    x = 2,186,892.93

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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.