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Finding the Fourth Proportional to 384,152.40, 530,143.56 and 214,418.16

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Solution

The fourth proportional to 384,152.40, 530,143.56 and 214,418.16 is: 295,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,152.40 : 530,143.56 = 214,418.16 : x
  2. Step 2: Convert to fraction form
    384,152.40/530,143.56 = 214,418.16/x
  3. Step 3: Cross multiply
    384,152.40x = 530,143.56 × 214,418.16
  4. Step 4: Simplify right side
    384,152.40x = 113,672,406,671.05
  5. Step 5: Solve for x
    x = 113,672,406,671.05/384,152.40
  6. Step 6: Final answer
    x = 295,904.46

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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.