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Finding the Fourth Proportional to 215,410.40, 323,115.60 and 97,312.40

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Solution

The fourth proportional to 215,410.40, 323,115.60 and 97,312.40 is: 145,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410.40 : 323,115.60 = 97,312.40 : x
  2. Step 2: Convert to fraction form
    215,410.40/323,115.60 = 97,312.40/x
  3. Step 3: Cross multiply
    215,410.40x = 323,115.60 × 97,312.40
  4. Step 4: Simplify right side
    215,410.40x = 31,443,154,513.44
  5. Step 5: Solve for x
    x = 31,443,154,513.44/215,410.40
  6. Step 6: Final answer
    x = 145,968.60

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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.