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Finding the Fourth Proportional to 506,984.10, 699,700.59 and 289,246.38

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Solution

The fourth proportional to 506,984.10, 699,700.59 and 289,246.38 is: 399,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,984.10 : 699,700.59 = 289,246.38 : x
  2. Step 2: Convert to fraction form
    506,984.10/699,700.59 = 289,246.38/x
  3. Step 3: Cross multiply
    506,984.10x = 699,700.59 × 289,246.38
  4. Step 4: Simplify right side
    506,984.10x = 202,385,862,741.36
  5. Step 5: Solve for x
    x = 202,385,862,741.36/506,984.10
  6. Step 6: Final answer
    x = 399,195.68

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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.