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Finding the Fourth Proportional to 402,233.22, 602,805.51 and 152,779.14

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Solution

The fourth proportional to 402,233.22, 602,805.51 and 152,779.14 is: 228,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,233.22 : 602,805.51 = 152,779.14 : x
  2. Step 2: Convert to fraction form
    402,233.22/602,805.51 = 152,779.14/x
  3. Step 3: Cross multiply
    402,233.22x = 602,805.51 × 152,779.14
  4. Step 4: Simplify right side
    402,233.22x = 92,096,107,405.06
  5. Step 5: Solve for x
    x = 92,096,107,405.06/402,233.22
  6. Step 6: Final answer
    x = 228,961.96

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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.