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Finding the Fourth Proportional to 523,202.52, 785,270.34 and 242,877.72

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Solution

The fourth proportional to 523,202.52, 785,270.34 and 242,877.72 is: 364,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,202.52 : 785,270.34 = 242,877.72 : x
  2. Step 2: Convert to fraction form
    523,202.52/785,270.34 = 242,877.72/x
  3. Step 3: Cross multiply
    523,202.52x = 785,270.34 × 242,877.72
  4. Step 4: Simplify right side
    523,202.52x = 190,724,669,762.83
  5. Step 5: Solve for x
    x = 190,724,669,762.83/523,202.52
  6. Step 6: Final answer
    x = 364,533.16

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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.