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Finding the Fourth Proportional to 297,506.50, 410,547.76 and 161,537.51

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Solution

The fourth proportional to 297,506.50, 410,547.76 and 161,537.51 is: 222,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,506.50 : 410,547.76 = 161,537.51 : x
  2. Step 2: Convert to fraction form
    297,506.50/410,547.76 = 161,537.51/x
  3. Step 3: Cross multiply
    297,506.50x = 410,547.76 × 161,537.51
  4. Step 4: Simplify right side
    297,506.50x = 66,318,860,026.05
  5. Step 5: Solve for x
    x = 66,318,860,026.05/297,506.50
  6. Step 6: Final answer
    x = 222,915.67

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1.5x scale

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.