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Finding the Fourth Proportional to 420,310.04, 630,893.92 and 307,655.64

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Solution

The fourth proportional to 420,310.04, 630,893.92 and 307,655.64 is: 461,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,310.04 : 630,893.92 = 307,655.64 : x
  2. Step 2: Convert to fraction form
    420,310.04/630,893.92 = 307,655.64/x
  3. Step 3: Cross multiply
    420,310.04x = 630,893.92 × 307,655.64
  4. Step 4: Simplify right side
    420,310.04x = 194,098,072,729.71
  5. Step 5: Solve for x
    x = 194,098,072,729.71/420,310.04
  6. Step 6: Final answer
    x = 461,797.37

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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.