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Finding the Fourth Proportional to 589,537, 884,492.41 and 210,449.60

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Solution

The fourth proportional to 589,537, 884,492.41 and 210,449.60 is: 315,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,537 : 884,492.41 = 210,449.60 : x
  2. Step 2: Convert to fraction form
    589,537/884,492.41 = 210,449.60/x
  3. Step 3: Cross multiply
    589,537x = 884,492.41 × 210,449.60
  4. Step 4: Simplify right side
    589,537x = 186,141,073,887.54
  5. Step 5: Solve for x
    x = 186,141,073,887.54/589,537
  6. Step 6: Final answer
    x = 315,741.12

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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.