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Finding the Fourth Proportional to 294,527.40, 441,848.70 and 126,047.40

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Solution

The fourth proportional to 294,527.40, 441,848.70 and 126,047.40 is: 189,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,527.40 : 441,848.70 = 126,047.40 : x
  2. Step 2: Convert to fraction form
    294,527.40/441,848.70 = 126,047.40/x
  3. Step 3: Cross multiply
    294,527.40x = 441,848.70 × 126,047.40
  4. Step 4: Simplify right side
    294,527.40x = 55,693,879,828.38
  5. Step 5: Solve for x
    x = 55,693,879,828.38/294,527.40
  6. Step 6: Final answer
    x = 189,095.75

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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.