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Finding the Fourth Proportional to 549,658.29, 824,284.77 and 189,737.63

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Solution

The fourth proportional to 549,658.29, 824,284.77 and 189,737.63 is: 284,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,658.29 : 824,284.77 = 189,737.63 : x
  2. Step 2: Convert to fraction form
    549,658.29/824,284.77 = 189,737.63/x
  3. Step 3: Cross multiply
    549,658.29x = 824,284.77 × 189,737.63
  4. Step 4: Simplify right side
    549,658.29x = 156,397,834,583.47
  5. Step 5: Solve for x
    x = 156,397,834,583.47/549,658.29
  6. Step 6: Final answer
    x = 284,536.48

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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.