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Finding the Fourth Proportional to 297,490, 446,140.36 and 97,764.16

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Solution

The fourth proportional to 297,490, 446,140.36 and 97,764.16 is: 146,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,490 : 446,140.36 = 97,764.16 : x
  2. Step 2: Convert to fraction form
    297,490/446,140.36 = 97,764.16/x
  3. Step 3: Cross multiply
    297,490x = 446,140.36 × 97,764.16
  4. Step 4: Simplify right side
    297,490x = 43,616,537,537.50
  5. Step 5: Solve for x
    x = 43,616,537,537.50/297,490
  6. Step 6: Final answer
    x = 146,615.14

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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.