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Finding the Fourth Proportional to 433,971.44, 650,988.34 and 149,657.90

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Solution

The fourth proportional to 433,971.44, 650,988.34 and 149,657.90 is: 224,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,971.44 : 650,988.34 = 149,657.90 : x
  2. Step 2: Convert to fraction form
    433,971.44/650,988.34 = 149,657.90/x
  3. Step 3: Cross multiply
    433,971.44x = 650,988.34 × 149,657.90
  4. Step 4: Simplify right side
    433,971.44x = 97,425,547,888.89
  5. Step 5: Solve for x
    x = 97,425,547,888.89/433,971.44
  6. Step 6: Final answer
    x = 224,497.60

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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.