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Finding the Fourth Proportional to 384,141.40, 530,111.70 and 212,061.40

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Solution

The fourth proportional to 384,141.40, 530,111.70 and 212,061.40 is: 292,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,141.40 : 530,111.70 = 212,061.40 : x
  2. Step 2: Convert to fraction form
    384,141.40/530,111.70 = 212,061.40/x
  3. Step 3: Cross multiply
    384,141.40x = 530,111.70 × 212,061.40
  4. Step 4: Simplify right side
    384,141.40x = 112,416,229,258.38
  5. Step 5: Solve for x
    x = 112,416,229,258.38/384,141.40
  6. Step 6: Final answer
    x = 292,642.84

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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.