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Finding the Fourth Proportional to 434,559, 652,127.73 and 178,601.49

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Solution

The fourth proportional to 434,559, 652,127.73 and 178,601.49 is: 268,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,559 : 652,127.73 = 178,601.49 : x
  2. Step 2: Convert to fraction form
    434,559/652,127.73 = 178,601.49/x
  3. Step 3: Cross multiply
    434,559x = 652,127.73 × 178,601.49
  4. Step 4: Simplify right side
    434,559x = 116,470,984,248.32
  5. Step 5: Solve for x
    x = 116,470,984,248.32/434,559
  6. Step 6: Final answer
    x = 268,021.11

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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.