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Finding the Fourth Proportional to 549,448.66, 823,508.63 and 283,063.85

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Solution

The fourth proportional to 549,448.66, 823,508.63 and 283,063.85 is: 424,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,448.66 : 823,508.63 = 283,063.85 : x
  2. Step 2: Convert to fraction form
    549,448.66/823,508.63 = 283,063.85/x
  3. Step 3: Cross multiply
    549,448.66x = 823,508.63 × 283,063.85
  4. Step 4: Simplify right side
    549,448.66x = 233,105,521,900.71
  5. Step 5: Solve for x
    x = 233,105,521,900.71/549,448.66
  6. Step 6: Final answer
    x = 424,253.51

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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.