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Finding the Fourth Proportional to 358,017.36, 493,857.72 and 214,693.80

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Solution

The fourth proportional to 358,017.36, 493,857.72 and 214,693.80 is: 296,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,017.36 : 493,857.72 = 214,693.80 : x
  2. Step 2: Convert to fraction form
    358,017.36/493,857.72 = 214,693.80/x
  3. Step 3: Cross multiply
    358,017.36x = 493,857.72 × 214,693.80
  4. Step 4: Simplify right side
    358,017.36x = 106,028,190,566.14
  5. Step 5: Solve for x
    x = 106,028,190,566.14/358,017.36
  6. Step 6: Final answer
    x = 296,153.77

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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.