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Finding the Fourth Proportional to 297,948.10, 417,680.30 and 297,948.10

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Solution

The fourth proportional to 297,948.10, 417,680.30 and 297,948.10 is: 417,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,948.10 : 417,680.30 = 297,948.10 : x
  2. Step 2: Convert to fraction form
    297,948.10/417,680.30 = 297,948.10/x
  3. Step 3: Cross multiply
    297,948.10x = 417,680.30 × 297,948.10
  4. Step 4: Simplify right side
    297,948.10x = 124,447,051,792.43
  5. Step 5: Solve for x
    x = 124,447,051,792.43/297,948.10
  6. Step 6: Final answer
    x = 417,680.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.