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Finding the Fourth Proportional to 800,448.60, 1,200,852 and 421,547.72

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Solution

The fourth proportional to 800,448.60, 1,200,852 and 421,547.72 is: 632,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,448.60 : 1,200,852 = 421,547.72 : x
  2. Step 2: Convert to fraction form
    800,448.60/1,200,852 = 421,547.72/x
  3. Step 3: Cross multiply
    800,448.60x = 1,200,852 × 421,547.72
  4. Step 4: Simplify right side
    800,448.60x = 506,216,422,657.44
  5. Step 5: Solve for x
    x = 506,216,422,657.44/800,448.60
  6. Step 6: Final answer
    x = 632,415.90

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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.