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Finding the Fourth Proportional to 295,384.13, 407,465.94 and 193,573.80

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Solution

The fourth proportional to 295,384.13, 407,465.94 and 193,573.80 is: 267,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,384.13 : 407,465.94 = 193,573.80 : x
  2. Step 2: Convert to fraction form
    295,384.13/407,465.94 = 193,573.80/x
  3. Step 3: Cross multiply
    295,384.13x = 407,465.94 × 193,573.80
  4. Step 4: Simplify right side
    295,384.13x = 78,874,730,376.37
  5. Step 5: Solve for x
    x = 78,874,730,376.37/295,384.13
  6. Step 6: Final answer
    x = 267,024.27

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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.