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Finding the Fourth Proportional to 502,265.19, 692,930.60 and 284,423.84

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Solution

The fourth proportional to 502,265.19, 692,930.60 and 284,423.84 is: 392,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,265.19 : 692,930.60 = 284,423.84 : x
  2. Step 2: Convert to fraction form
    502,265.19/692,930.60 = 284,423.84/x
  3. Step 3: Cross multiply
    502,265.19x = 692,930.60 × 284,423.84
  4. Step 4: Simplify right side
    502,265.19x = 197,085,984,548.89
  5. Step 5: Solve for x
    x = 197,085,984,548.89/502,265.19
  6. Step 6: Final answer
    x = 392,394.27

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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.