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Finding the Fourth Proportional to 571,286.32, 855,870 and 286,642.60

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Solution

The fourth proportional to 571,286.32, 855,870 and 286,642.60 is: 429,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,286.32 : 855,870 = 286,642.60 : x
  2. Step 2: Convert to fraction form
    571,286.32/855,870 = 286,642.60/x
  3. Step 3: Cross multiply
    571,286.32x = 855,870 × 286,642.60
  4. Step 4: Simplify right side
    571,286.32x = 245,328,802,062.00
  5. Step 5: Solve for x
    x = 245,328,802,062.00/571,286.32
  6. Step 6: Final answer
    x = 429,432.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.