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Finding the Fourth Proportional to 523,636.80, 785,455.20 and 257,916.30

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Solution

The fourth proportional to 523,636.80, 785,455.20 and 257,916.30 is: 386,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,636.80 : 785,455.20 = 257,916.30 : x
  2. Step 2: Convert to fraction form
    523,636.80/785,455.20 = 257,916.30/x
  3. Step 3: Cross multiply
    523,636.80x = 785,455.20 × 257,916.30
  4. Step 4: Simplify right side
    523,636.80x = 202,581,698,999.76
  5. Step 5: Solve for x
    x = 202,581,698,999.76/523,636.80
  6. Step 6: Final answer
    x = 386,874.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.