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Finding the Fourth Proportional to 382,938.88, 528,417.40 and 221,845.76

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Solution

The fourth proportional to 382,938.88, 528,417.40 and 221,845.76 is: 306,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,938.88 : 528,417.40 = 221,845.76 : x
  2. Step 2: Convert to fraction form
    382,938.88/528,417.40 = 221,845.76/x
  3. Step 3: Cross multiply
    382,938.88x = 528,417.40 × 221,845.76
  4. Step 4: Simplify right side
    382,938.88x = 117,227,159,700.22
  5. Step 5: Solve for x
    x = 117,227,159,700.22/382,938.88
  6. Step 6: Final answer
    x = 306,124.99

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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.