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Finding the Fourth Proportional to 549,475.30, 823,228.80 and 470,743.30

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Solution

The fourth proportional to 549,475.30, 823,228.80 and 470,743.30 is: 705,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,475.30 : 823,228.80 = 470,743.30 : x
  2. Step 2: Convert to fraction form
    549,475.30/823,228.80 = 470,743.30/x
  3. Step 3: Cross multiply
    549,475.30x = 823,228.80 × 470,743.30
  4. Step 4: Simplify right side
    549,475.30x = 387,529,441,967.04
  5. Step 5: Solve for x
    x = 387,529,441,967.04/549,475.30
  6. Step 6: Final answer
    x = 705,271.81

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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.