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Finding the Fourth Proportional to 442,495.14, 610,642.17 and 241,291.14

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Solution

The fourth proportional to 442,495.14, 610,642.17 and 241,291.14 is: 332,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,495.14 : 610,642.17 = 241,291.14 : x
  2. Step 2: Convert to fraction form
    442,495.14/610,642.17 = 241,291.14/x
  3. Step 3: Cross multiply
    442,495.14x = 610,642.17 × 241,291.14
  4. Step 4: Simplify right side
    442,495.14x = 147,342,545,331.37
  5. Step 5: Solve for x
    x = 147,342,545,331.37/442,495.14
  6. Step 6: Final answer
    x = 332,981.16

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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.