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Finding the Fourth Proportional to 297,653.03, 446,541.06 and 97,985.40

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Solution

The fourth proportional to 297,653.03, 446,541.06 and 97,985.40 is: 146,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,653.03 : 446,541.06 = 97,985.40 : x
  2. Step 2: Convert to fraction form
    297,653.03/446,541.06 = 97,985.40/x
  3. Step 3: Cross multiply
    297,653.03x = 446,541.06 × 97,985.40
  4. Step 4: Simplify right side
    297,653.03x = 43,754,503,890.60
  5. Step 5: Solve for x
    x = 43,754,503,890.60/297,653.03
  6. Step 6: Final answer
    x = 146,998.35

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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.