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Finding the Fourth Proportional to 342,098.16, 472,094.28 and 191,195.16

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Solution

The fourth proportional to 342,098.16, 472,094.28 and 191,195.16 is: 263,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,098.16 : 472,094.28 = 191,195.16 : x
  2. Step 2: Convert to fraction form
    342,098.16/472,094.28 = 191,195.16/x
  3. Step 3: Cross multiply
    342,098.16x = 472,094.28 × 191,195.16
  4. Step 4: Simplify right side
    342,098.16x = 90,262,140,443.71
  5. Step 5: Solve for x
    x = 90,262,140,443.71/342,098.16
  6. Step 6: Final answer
    x = 263,848.66

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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.