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Finding the Fourth Proportional to 384,262.70, 530,260.53 and 214,507.58

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Solution

The fourth proportional to 384,262.70, 530,260.53 and 214,507.58 is: 296,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,262.70 : 530,260.53 = 214,507.58 : x
  2. Step 2: Convert to fraction form
    384,262.70/530,260.53 = 214,507.58/x
  3. Step 3: Cross multiply
    384,262.70x = 530,260.53 × 214,507.58
  4. Step 4: Simplify right side
    384,262.70x = 113,744,903,059.82
  5. Step 5: Solve for x
    x = 113,744,903,059.82/384,262.70
  6. Step 6: Final answer
    x = 296,008.18

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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.