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Finding the Fourth Proportional to 197,598.72, 296,398.80 and 47,838.74

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Solution

The fourth proportional to 197,598.72, 296,398.80 and 47,838.74 is: 71,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,598.72 : 296,398.80 = 47,838.74 : x
  2. Step 2: Convert to fraction form
    197,598.72/296,398.80 = 47,838.74/x
  3. Step 3: Cross multiply
    197,598.72x = 296,398.80 × 47,838.74
  4. Step 4: Simplify right side
    197,598.72x = 14,179,343,647.52
  5. Step 5: Solve for x
    x = 14,179,343,647.52/197,598.72
  6. Step 6: Final answer
    x = 71,758.28

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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.