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Finding the Fourth Proportional to 523,572.48, 785,100.08 and 307,485.41

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Solution

The fourth proportional to 523,572.48, 785,100.08 and 307,485.41 is: 461,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,572.48 : 785,100.08 = 307,485.41 : x
  2. Step 2: Convert to fraction form
    523,572.48/785,100.08 = 307,485.41/x
  3. Step 3: Cross multiply
    523,572.48x = 785,100.08 × 307,485.41
  4. Step 4: Simplify right side
    523,572.48x = 241,406,816,833.05
  5. Step 5: Solve for x
    x = 241,406,816,833.05/523,572.48
  6. Step 6: Final answer
    x = 461,076.21

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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.