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Finding the Fourth Proportional to 384,353.32, 530,385.30 and 214,598.20

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Solution

The fourth proportional to 384,353.32, 530,385.30 and 214,598.20 is: 296,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,353.32 : 530,385.30 = 214,598.20 : x
  2. Step 2: Convert to fraction form
    384,353.32/530,385.30 = 214,598.20/x
  3. Step 3: Cross multiply
    384,353.32x = 530,385.30 × 214,598.20
  4. Step 4: Simplify right side
    384,353.32x = 113,819,730,686.46
  5. Step 5: Solve for x
    x = 113,819,730,686.46/384,353.32
  6. Step 6: Final answer
    x = 296,133.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.