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Finding the Fourth Proportional to 405,676.27, 608,476.74 and 152,848.14

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Solution

The fourth proportional to 405,676.27, 608,476.74 and 152,848.14 is: 229,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,676.27 : 608,476.74 = 152,848.14 : x
  2. Step 2: Convert to fraction form
    405,676.27/608,476.74 = 152,848.14/x
  3. Step 3: Cross multiply
    405,676.27x = 608,476.74 × 152,848.14
  4. Step 4: Simplify right side
    405,676.27x = 93,004,537,942.26
  5. Step 5: Solve for x
    x = 93,004,537,942.26/405,676.27
  6. Step 6: Final answer
    x = 229,258.02

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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.