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Finding the Fourth Proportional to 295,702.65, 443,547.57 and 82,464.90

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Solution

The fourth proportional to 295,702.65, 443,547.57 and 82,464.90 is: 123,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,702.65 : 443,547.57 = 82,464.90 : x
  2. Step 2: Convert to fraction form
    295,702.65/443,547.57 = 82,464.90/x
  3. Step 3: Cross multiply
    295,702.65x = 443,547.57 × 82,464.90
  4. Step 4: Simplify right side
    295,702.65x = 36,577,106,005.29
  5. Step 5: Solve for x
    x = 36,577,106,005.29/295,702.65
  6. Step 6: Final answer
    x = 123,695.56

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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.