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Finding the Fourth Proportional to 786,517, 1,179,779.98 and 195,541

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Solution

The fourth proportional to 786,517, 1,179,779.98 and 195,541 is: 293,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,517 : 1,179,779.98 = 195,541 : x
  2. Step 2: Convert to fraction form
    786,517/1,179,779.98 = 195,541/x
  3. Step 3: Cross multiply
    786,517x = 1,179,779.98 × 195,541
  4. Step 4: Simplify right side
    786,517x = 230,695,357,069.18
  5. Step 5: Solve for x
    x = 230,695,357,069.18/786,517
  6. Step 6: Final answer
    x = 293,312.61

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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.