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Finding the Fourth Proportional to 531,091.50, 732,913.56 and 304,737

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Solution

The fourth proportional to 531,091.50, 732,913.56 and 304,737 is: 420,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,091.50 : 732,913.56 = 304,737 : x
  2. Step 2: Convert to fraction form
    531,091.50/732,913.56 = 304,737/x
  3. Step 3: Cross multiply
    531,091.50x = 732,913.56 × 304,737
  4. Step 4: Simplify right side
    531,091.50x = 223,345,879,533.72
  5. Step 5: Solve for x
    x = 223,345,879,533.72/531,091.50
  6. Step 6: Final answer
    x = 420,541.24

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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.