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Finding the Fourth Proportional to 523,461.96, 785,266.38 and 257,232.96

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Solution

The fourth proportional to 523,461.96, 785,266.38 and 257,232.96 is: 385,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,461.96 : 785,266.38 = 257,232.96 : x
  2. Step 2: Convert to fraction form
    523,461.96/785,266.38 = 257,232.96/x
  3. Step 3: Cross multiply
    523,461.96x = 785,266.38 × 257,232.96
  4. Step 4: Simplify right side
    523,461.96x = 201,996,395,315.89
  5. Step 5: Solve for x
    x = 201,996,395,315.89/523,461.96
  6. Step 6: Final answer
    x = 385,885.53

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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.