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Finding the Fourth Proportional to 549,459.80, 823,205.55 and 470,727.80

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Solution

The fourth proportional to 549,459.80, 823,205.55 and 470,727.80 is: 705,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,459.80 : 823,205.55 = 470,727.80 : x
  2. Step 2: Convert to fraction form
    549,459.80/823,205.55 = 470,727.80/x
  3. Step 3: Cross multiply
    549,459.80x = 823,205.55 × 470,727.80
  4. Step 4: Simplify right side
    549,459.80x = 387,505,737,499.29
  5. Step 5: Solve for x
    x = 387,505,737,499.29/549,459.80
  6. Step 6: Final answer
    x = 705,248.57

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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.