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Finding the Fourth Proportional to 683,309.24, 942,925.35 and 411,465.14

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Solution

The fourth proportional to 683,309.24, 942,925.35 and 411,465.14 is: 567,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,309.24 : 942,925.35 = 411,465.14 : x
  2. Step 2: Convert to fraction form
    683,309.24/942,925.35 = 411,465.14/x
  3. Step 3: Cross multiply
    683,309.24x = 942,925.35 × 411,465.14
  4. Step 4: Simplify right side
    683,309.24x = 387,980,911,147.30
  5. Step 5: Solve for x
    x = 387,980,911,147.30/683,309.24
  6. Step 6: Final answer
    x = 567,796.96

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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.