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Finding the Fourth Proportional to 549,467.30, 823,216.80 and 470,735.30

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Solution

The fourth proportional to 549,467.30, 823,216.80 and 470,735.30 is: 705,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,467.30 : 823,216.80 = 470,735.30 : x
  2. Step 2: Convert to fraction form
    549,467.30/823,216.80 = 470,735.30/x
  3. Step 3: Cross multiply
    549,467.30x = 823,216.80 × 470,735.30
  4. Step 4: Simplify right side
    549,467.30x = 387,517,207,313.04
  5. Step 5: Solve for x
    x = 387,517,207,313.04/549,467.30
  6. Step 6: Final answer
    x = 705,259.82

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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.