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Finding the Fourth Proportional to 442,119, 610,124.10 and 240,915

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Solution

The fourth proportional to 442,119, 610,124.10 and 240,915 is: 332,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,119 : 610,124.10 = 240,915 : x
  2. Step 2: Convert to fraction form
    442,119/610,124.10 = 240,915/x
  3. Step 3: Cross multiply
    442,119x = 610,124.10 × 240,915
  4. Step 4: Simplify right side
    442,119x = 146,988,047,551.50
  5. Step 5: Solve for x
    x = 146,988,047,551.50/442,119
  6. Step 6: Final answer
    x = 332,462.63

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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.