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Finding the Fourth Proportional to 364,846.40, 547,269.60 and 307,109.60

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Solution

The fourth proportional to 364,846.40, 547,269.60 and 307,109.60 is: 460,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,846.40 : 547,269.60 = 307,109.60 : x
  2. Step 2: Convert to fraction form
    364,846.40/547,269.60 = 307,109.60/x
  3. Step 3: Cross multiply
    364,846.40x = 547,269.60 × 307,109.60
  4. Step 4: Simplify right side
    364,846.40x = 168,071,747,948.16
  5. Step 5: Solve for x
    x = 168,071,747,948.16/364,846.40
  6. Step 6: Final answer
    x = 460,664.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.