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Finding the Fourth Proportional to 553,816.47, 830,724.64 and 133,092.35

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Solution

The fourth proportional to 553,816.47, 830,724.64 and 133,092.35 is: 199,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,816.47 : 830,724.64 = 133,092.35 : x
  2. Step 2: Convert to fraction form
    553,816.47/830,724.64 = 133,092.35/x
  3. Step 3: Cross multiply
    553,816.47x = 830,724.64 × 133,092.35
  4. Step 4: Simplify right side
    553,816.47x = 110,563,094,540.50
  5. Step 5: Solve for x
    x = 110,563,094,540.50/553,816.47
  6. Step 6: Final answer
    x = 199,638.51

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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.