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Finding the Fourth Proportional to 507,210.30, 700,679.30 and 405,101.70

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Solution

The fourth proportional to 507,210.30, 700,679.30 and 405,101.70 is: 559,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,210.30 : 700,679.30 = 405,101.70 : x
  2. Step 2: Convert to fraction form
    507,210.30/700,679.30 = 405,101.70/x
  3. Step 3: Cross multiply
    507,210.30x = 700,679.30 × 405,101.70
  4. Step 4: Simplify right side
    507,210.30x = 283,846,373,559.30
  5. Step 5: Solve for x
    x = 283,846,373,559.30/507,210.30
  6. Step 6: Final answer
    x = 559,622.65

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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.