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Finding the Fourth Proportional to 403,427.60, 581,682.24 and 403,427.60

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Solution

The fourth proportional to 403,427.60, 581,682.24 and 403,427.60 is: 581,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,427.60 : 581,682.24 = 403,427.60 : x
  2. Step 2: Convert to fraction form
    403,427.60/581,682.24 = 403,427.60/x
  3. Step 3: Cross multiply
    403,427.60x = 581,682.24 × 403,427.60
  4. Step 4: Simplify right side
    403,427.60x = 234,666,670,045.82
  5. Step 5: Solve for x
    x = 234,666,670,045.82/403,427.60
  6. Step 6: Final answer
    x = 581,682.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.