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Finding the Fourth Proportional to 699,827.18, 965,428.89 and 413,155.22

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Solution

The fourth proportional to 699,827.18, 965,428.89 and 413,155.22 is: 569,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,827.18 : 965,428.89 = 413,155.22 : x
  2. Step 2: Convert to fraction form
    699,827.18/965,428.89 = 413,155.22/x
  3. Step 3: Cross multiply
    699,827.18x = 965,428.89 × 413,155.22
  4. Step 4: Simplify right side
    699,827.18x = 398,871,985,442.31
  5. Step 5: Solve for x
    x = 398,871,985,442.31/699,827.18
  6. Step 6: Final answer
    x = 569,957.84

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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.