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Finding the Fourth Proportional to 647,176, 893,133.30 and 360,698.17

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Solution

The fourth proportional to 647,176, 893,133.30 and 360,698.17 is: 497,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,176 : 893,133.30 = 360,698.17 : x
  2. Step 2: Convert to fraction form
    647,176/893,133.30 = 360,698.17/x
  3. Step 3: Cross multiply
    647,176x = 893,133.30 × 360,698.17
  4. Step 4: Simplify right side
    647,176x = 322,151,546,876.06
  5. Step 5: Solve for x
    x = 322,151,546,876.06/647,176
  6. Step 6: Final answer
    x = 497,780.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.