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Finding the Fourth Proportional to 514,063.55, 709,486.05 and 320,502.66

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Solution

The fourth proportional to 514,063.55, 709,486.05 and 320,502.66 is: 442,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,063.55 : 709,486.05 = 320,502.66 : x
  2. Step 2: Convert to fraction form
    514,063.55/709,486.05 = 320,502.66/x
  3. Step 3: Cross multiply
    514,063.55x = 709,486.05 × 320,502.66
  4. Step 4: Simplify right side
    514,063.55x = 227,392,166,257.89
  5. Step 5: Solve for x
    x = 227,392,166,257.89/514,063.55
  6. Step 6: Final answer
    x = 442,342.52

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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.