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Finding the Fourth Proportional to 384,712.06, 530,891.76 and 214,946.20

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Solution

The fourth proportional to 384,712.06, 530,891.76 and 214,946.20 is: 296,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,712.06 : 530,891.76 = 214,946.20 : x
  2. Step 2: Convert to fraction form
    384,712.06/530,891.76 = 214,946.20/x
  3. Step 3: Cross multiply
    384,712.06x = 530,891.76 × 214,946.20
  4. Step 4: Simplify right side
    384,712.06x = 114,113,166,423.31
  5. Step 5: Solve for x
    x = 114,113,166,423.31/384,712.06
  6. Step 6: Final answer
    x = 296,619.68

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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.