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Finding the Fourth Proportional to 284,433.40, 426,534.90 and 97,348.60

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Solution

The fourth proportional to 284,433.40, 426,534.90 and 97,348.60 is: 145,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,433.40 : 426,534.90 = 97,348.60 : x
  2. Step 2: Convert to fraction form
    284,433.40/426,534.90 = 97,348.60/x
  3. Step 3: Cross multiply
    284,433.40x = 426,534.90 × 97,348.60
  4. Step 4: Simplify right side
    284,433.40x = 41,522,575,366.14
  5. Step 5: Solve for x
    x = 41,522,575,366.14/284,433.40
  6. Step 6: Final answer
    x = 145,983.47

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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.