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Finding the Fourth Proportional to 586,703.91, 809,558.91 and 341,728.98

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Solution

The fourth proportional to 586,703.91, 809,558.91 and 341,728.98 is: 471,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,703.91 : 809,558.91 = 341,728.98 : x
  2. Step 2: Convert to fraction form
    586,703.91/809,558.91 = 341,728.98/x
  3. Step 3: Cross multiply
    586,703.91x = 809,558.91 × 341,728.98
  4. Step 4: Simplify right side
    586,703.91x = 276,649,739,618.95
  5. Step 5: Solve for x
    x = 276,649,739,618.95/586,703.91
  6. Step 6: Final answer
    x = 471,532.13

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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.