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Finding the Fourth Proportional to 642,706.83, 886,323.60 and 384,542.42

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Solution

The fourth proportional to 642,706.83, 886,323.60 and 384,542.42 is: 530,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,706.83 : 886,323.60 = 384,542.42 : x
  2. Step 2: Convert to fraction form
    642,706.83/886,323.60 = 384,542.42/x
  3. Step 3: Cross multiply
    642,706.83x = 886,323.60 × 384,542.42
  4. Step 4: Simplify right side
    642,706.83x = 340,829,017,615.49
  5. Step 5: Solve for x
    x = 340,829,017,615.49/642,706.83
  6. Step 6: Final answer
    x = 530,302.47

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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.