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Finding the Fourth Proportional to 657,704.90, 986,229.30 and 302,317.40

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Solution

The fourth proportional to 657,704.90, 986,229.30 and 302,317.40 is: 453,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,704.90 : 986,229.30 = 302,317.40 : x
  2. Step 2: Convert to fraction form
    657,704.90/986,229.30 = 302,317.40/x
  3. Step 3: Cross multiply
    657,704.90x = 986,229.30 × 302,317.40
  4. Step 4: Simplify right side
    657,704.90x = 298,154,277,779.82
  5. Step 5: Solve for x
    x = 298,154,277,779.82/657,704.90
  6. Step 6: Final answer
    x = 453,325.31

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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.