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Finding the Fourth Proportional to 442,105.48, 610,106.34 and 240,901.48

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Solution

The fourth proportional to 442,105.48, 610,106.34 and 240,901.48 is: 332,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,105.48 : 610,106.34 = 240,901.48 : x
  2. Step 2: Convert to fraction form
    442,105.48/610,106.34 = 240,901.48/x
  3. Step 3: Cross multiply
    442,105.48x = 610,106.34 × 240,901.48
  4. Step 4: Simplify right side
    442,105.48x = 146,975,520,263.38
  5. Step 5: Solve for x
    x = 146,975,520,263.38/442,105.48
  6. Step 6: Final answer
    x = 332,444.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.