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Finding the Fourth Proportional to 523,564.92, 783,706.32 and 360,507.60

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Solution

The fourth proportional to 523,564.92, 783,706.32 and 360,507.60 is: 539,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,564.92 : 783,706.32 = 360,507.60 : x
  2. Step 2: Convert to fraction form
    523,564.92/783,706.32 = 360,507.60/x
  3. Step 3: Cross multiply
    523,564.92x = 783,706.32 × 360,507.60
  4. Step 4: Simplify right side
    523,564.92x = 282,532,084,528.03
  5. Step 5: Solve for x
    x = 282,532,084,528.03/523,564.92
  6. Step 6: Final answer
    x = 539,631.43

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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.