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Finding the Fourth Proportional to 514,420.81, 710,247.15 and 321,122.81

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Solution

The fourth proportional to 514,420.81, 710,247.15 and 321,122.81 is: 443,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,420.81 : 710,247.15 = 321,122.81 : x
  2. Step 2: Convert to fraction form
    514,420.81/710,247.15 = 321,122.81/x
  3. Step 3: Cross multiply
    514,420.81x = 710,247.15 × 321,122.81
  4. Step 4: Simplify right side
    514,420.81x = 228,076,562,378.11
  5. Step 5: Solve for x
    x = 228,076,562,378.11/514,420.81
  6. Step 6: Final answer
    x = 443,365.74

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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.