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Finding the Fourth Proportional to 430,290.30, 645,431.32 and 261,858.50

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Solution

The fourth proportional to 430,290.30, 645,431.32 and 261,858.50 is: 392,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,290.30 : 645,431.32 = 261,858.50 : x
  2. Step 2: Convert to fraction form
    430,290.30/645,431.32 = 261,858.50/x
  3. Step 3: Cross multiply
    430,290.30x = 645,431.32 × 261,858.50
  4. Step 4: Simplify right side
    430,290.30x = 169,011,677,308.22
  5. Step 5: Solve for x
    x = 169,011,677,308.22/430,290.30
  6. Step 6: Final answer
    x = 392,785.24

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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.