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Finding the Fourth Proportional to 358,223, 494,347.73 and 197,074.58

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Solution

The fourth proportional to 358,223, 494,347.73 and 197,074.58 is: 271,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,223 : 494,347.73 = 197,074.58 : x
  2. Step 2: Convert to fraction form
    358,223/494,347.73 = 197,074.58/x
  3. Step 3: Cross multiply
    358,223x = 494,347.73 × 197,074.58
  4. Step 4: Simplify right side
    358,223x = 97,423,371,263.70
  5. Step 5: Solve for x
    x = 97,423,371,263.70/358,223
  6. Step 6: Final answer
    x = 271,962.91

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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.