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Finding the Fourth Proportional to 506,309.50, 698,452.36 and 334,045.90

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Solution

The fourth proportional to 506,309.50, 698,452.36 and 334,045.90 is: 460,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,309.50 : 698,452.36 = 334,045.90 : x
  2. Step 2: Convert to fraction form
    506,309.50/698,452.36 = 334,045.90/x
  3. Step 3: Cross multiply
    506,309.50x = 698,452.36 × 334,045.90
  4. Step 4: Simplify right side
    506,309.50x = 233,315,147,203.32
  5. Step 5: Solve for x
    x = 233,315,147,203.32/506,309.50
  6. Step 6: Final answer
    x = 460,815.27

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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.