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Finding the Fourth Proportional to 219,885.40, 329,828.10 and 194,953.60

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Solution

The fourth proportional to 219,885.40, 329,828.10 and 194,953.60 is: 292,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,885.40 : 329,828.10 = 194,953.60 : x
  2. Step 2: Convert to fraction form
    219,885.40/329,828.10 = 194,953.60/x
  3. Step 3: Cross multiply
    219,885.40x = 329,828.10 × 194,953.60
  4. Step 4: Simplify right side
    219,885.40x = 64,301,175,476.16
  5. Step 5: Solve for x
    x = 64,301,175,476.16/219,885.40
  6. Step 6: Final answer
    x = 292,430.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.