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Finding the Fourth Proportional to 360,095.47, 496,925.92 and 196,748.47

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Solution

The fourth proportional to 360,095.47, 496,925.92 and 196,748.47 is: 271,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,095.47 : 496,925.92 = 196,748.47 : x
  2. Step 2: Convert to fraction form
    360,095.47/496,925.92 = 196,748.47/x
  3. Step 3: Cross multiply
    360,095.47x = 496,925.92 × 196,748.47
  4. Step 4: Simplify right side
    360,095.47x = 97,769,413,479.60
  5. Step 5: Solve for x
    x = 97,769,413,479.60/360,095.47
  6. Step 6: Final answer
    x = 271,509.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.