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Finding the Fourth Proportional to 470,419.38, 704,710.44 and 375,846.30

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Solution

The fourth proportional to 470,419.38, 704,710.44 and 375,846.30 is: 563,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,419.38 : 704,710.44 = 375,846.30 : x
  2. Step 2: Convert to fraction form
    470,419.38/704,710.44 = 375,846.30/x
  3. Step 3: Cross multiply
    470,419.38x = 704,710.44 × 375,846.30
  4. Step 4: Simplify right side
    470,419.38x = 264,862,811,445.37
  5. Step 5: Solve for x
    x = 264,862,811,445.37/470,419.38
  6. Step 6: Final answer
    x = 563,035.50

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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.