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Finding the Fourth Proportional to 786,312, 1,179,476.16 and 195,336

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Solution

The fourth proportional to 786,312, 1,179,476.16 and 195,336 is: 293,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,312 : 1,179,476.16 = 195,336 : x
  2. Step 2: Convert to fraction form
    786,312/1,179,476.16 = 195,336/x
  3. Step 3: Cross multiply
    786,312x = 1,179,476.16 × 195,336
  4. Step 4: Simplify right side
    786,312x = 230,394,155,189.76
  5. Step 5: Solve for x
    x = 230,394,155,189.76/786,312
  6. Step 6: Final answer
    x = 293,006.03

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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.