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Finding the Fourth Proportional to 506,720.12, 698,969.12 and 334,639.67

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Solution

The fourth proportional to 506,720.12, 698,969.12 and 334,639.67 is: 461,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,720.12 : 698,969.12 = 334,639.67 : x
  2. Step 2: Convert to fraction form
    506,720.12/698,969.12 = 334,639.67/x
  3. Step 3: Cross multiply
    506,720.12x = 698,969.12 × 334,639.67
  4. Step 4: Simplify right side
    506,720.12x = 233,902,790,488.95
  5. Step 5: Solve for x
    x = 233,902,790,488.95/506,720.12
  6. Step 6: Final answer
    x = 461,601.55

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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.