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Finding the Fourth Proportional to 284,277, 426,417.66 and 97,290.12

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Solution

The fourth proportional to 284,277, 426,417.66 and 97,290.12 is: 145,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,277 : 426,417.66 = 97,290.12 : x
  2. Step 2: Convert to fraction form
    284,277/426,417.66 = 97,290.12/x
  3. Step 3: Cross multiply
    284,277x = 426,417.66 × 97,290.12
  4. Step 4: Simplify right side
    284,277x = 41,486,225,311.52
  5. Step 5: Solve for x
    x = 41,486,225,311.52/284,277
  6. Step 6: Final answer
    x = 145,935.92

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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.