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Finding the Fourth Proportional to 586,633.64, 809,565.92 and 382,814.96

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Solution

The fourth proportional to 586,633.64, 809,565.92 and 382,814.96 is: 528,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,633.64 : 809,565.92 = 382,814.96 : x
  2. Step 2: Convert to fraction form
    586,633.64/809,565.92 = 382,814.96/x
  3. Step 3: Cross multiply
    586,633.64x = 809,565.92 × 382,814.96
  4. Step 4: Simplify right side
    586,633.64x = 309,913,946,827.56
  5. Step 5: Solve for x
    x = 309,913,946,827.56/586,633.64
  6. Step 6: Final answer
    x = 528,292.15

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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.