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Finding the Fourth Proportional to 549,645.80, 823,302.30 and 456,333.80

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Solution

The fourth proportional to 549,645.80, 823,302.30 and 456,333.80 is: 683,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,645.80 : 823,302.30 = 456,333.80 : x
  2. Step 2: Convert to fraction form
    549,645.80/823,302.30 = 456,333.80/x
  3. Step 3: Cross multiply
    549,645.80x = 823,302.30 × 456,333.80
  4. Step 4: Simplify right side
    549,645.80x = 375,700,667,107.74
  5. Step 5: Solve for x
    x = 375,700,667,107.74/549,645.80
  6. Step 6: Final answer
    x = 683,532.32

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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.