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Finding the Fourth Proportional to 384,113.04, 530,076.10 and 212,031.11

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Solution

The fourth proportional to 384,113.04, 530,076.10 and 212,031.11 is: 292,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,113.04 : 530,076.10 = 212,031.11 : x
  2. Step 2: Convert to fraction form
    384,113.04/530,076.10 = 212,031.11/x
  3. Step 3: Cross multiply
    384,113.04x = 530,076.10 × 212,031.11
  4. Step 4: Simplify right side
    384,113.04x = 112,392,620,687.01
  5. Step 5: Solve for x
    x = 112,392,620,687.01/384,113.04
  6. Step 6: Final answer
    x = 292,602.98

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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.