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Finding the Fourth Proportional to 1,097,359.10, 1,646,038.65 and 1,023,631.10

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Solution

The fourth proportional to 1,097,359.10, 1,646,038.65 and 1,023,631.10 is: 1,535,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,359.10 : 1,646,038.65 = 1,023,631.10 : x
  2. Step 2: Convert to fraction form
    1,097,359.10/1,646,038.65 = 1,023,631.10/x
  3. Step 3: Cross multiply
    1,097,359.10x = 1,646,038.65 × 1,023,631.10
  4. Step 4: Simplify right side
    1,097,359.10x = 1,684,936,353,942.02
  5. Step 5: Solve for x
    x = 1,684,936,353,942.02/1,097,359.10
  6. Step 6: Final answer
    x = 1,535,446.65

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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.