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Finding the Fourth Proportional to 523,046.82, 719,539.53 and 458,224.14

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Solution

The fourth proportional to 523,046.82, 719,539.53 and 458,224.14 is: 630,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,046.82 : 719,539.53 = 458,224.14 : x
  2. Step 2: Convert to fraction form
    523,046.82/719,539.53 = 458,224.14/x
  3. Step 3: Cross multiply
    523,046.82x = 719,539.53 × 458,224.14
  4. Step 4: Simplify right side
    523,046.82x = 329,710,382,330.25
  5. Step 5: Solve for x
    x = 329,710,382,330.25/523,046.82
  6. Step 6: Final answer
    x = 630,364.95

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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.