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Finding the Fourth Proportional to 506,269.42, 759,029.19 and 306,542.86

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Solution

The fourth proportional to 506,269.42, 759,029.19 and 306,542.86 is: 459,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,269.42 : 759,029.19 = 306,542.86 : x
  2. Step 2: Convert to fraction form
    506,269.42/759,029.19 = 306,542.86/x
  3. Step 3: Cross multiply
    506,269.42x = 759,029.19 × 306,542.86
  4. Step 4: Simplify right side
    506,269.42x = 232,674,978,726.08
  5. Step 5: Solve for x
    x = 232,674,978,726.08/506,269.42
  6. Step 6: Final answer
    x = 459,587.27

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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.