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Finding the Fourth Proportional to 514,435.82, 710,267.85 and 321,137.82

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Solution

The fourth proportional to 514,435.82, 710,267.85 and 321,137.82 is: 443,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,435.82 : 710,267.85 = 321,137.82 : x
  2. Step 2: Convert to fraction form
    514,435.82/710,267.85 = 321,137.82/x
  3. Step 3: Cross multiply
    514,435.82x = 710,267.85 × 321,137.82
  4. Step 4: Simplify right side
    514,435.82x = 228,093,868,965.09
  5. Step 5: Solve for x
    x = 228,093,868,965.09/514,435.82
  6. Step 6: Final answer
    x = 443,386.45

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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.