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Finding the Fourth Proportional to 424,765, 586,168.68 and 233,774.56

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Solution

The fourth proportional to 424,765, 586,168.68 and 233,774.56 is: 322,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,765 : 586,168.68 = 233,774.56 : x
  2. Step 2: Convert to fraction form
    424,765/586,168.68 = 233,774.56/x
  3. Step 3: Cross multiply
    424,765x = 586,168.68 × 233,774.56
  4. Step 4: Simplify right side
    424,765x = 137,031,325,252.78
  5. Step 5: Solve for x
    x = 137,031,325,252.78/424,765
  6. Step 6: Final answer
    x = 322,605.03

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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.