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Finding the Fourth Proportional to 384,068.99, 530,015.79 and 214,303.52

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Solution

The fourth proportional to 384,068.99, 530,015.79 and 214,303.52 is: 295,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,068.99 : 530,015.79 = 214,303.52 : x
  2. Step 2: Convert to fraction form
    384,068.99/530,015.79 = 214,303.52/x
  3. Step 3: Cross multiply
    384,068.99x = 530,015.79 × 214,303.52
  4. Step 4: Simplify right side
    384,068.99x = 113,584,249,452.58
  5. Step 5: Solve for x
    x = 113,584,249,452.58/384,068.99
  6. Step 6: Final answer
    x = 295,739.18

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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.