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Finding the Fourth Proportional to 482,169, 723,253.50 and 186,681

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Solution

The fourth proportional to 482,169, 723,253.50 and 186,681 is: 280,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,169 : 723,253.50 = 186,681 : x
  2. Step 2: Convert to fraction form
    482,169/723,253.50 = 186,681/x
  3. Step 3: Cross multiply
    482,169x = 723,253.50 × 186,681
  4. Step 4: Simplify right side
    482,169x = 135,017,686,633.50
  5. Step 5: Solve for x
    x = 135,017,686,633.50/482,169
  6. Step 6: Final answer
    x = 280,021.50

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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.