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Finding the Fourth Proportional to 549,284.24, 758,033.90 and 307,564.64

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Solution

The fourth proportional to 549,284.24, 758,033.90 and 307,564.64 is: 424,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,284.24 : 758,033.90 = 307,564.64 : x
  2. Step 2: Convert to fraction form
    549,284.24/758,033.90 = 307,564.64/x
  3. Step 3: Cross multiply
    549,284.24x = 758,033.90 × 307,564.64
  4. Step 4: Simplify right side
    549,284.24x = 233,144,423,561.30
  5. Step 5: Solve for x
    x = 233,144,423,561.30/549,284.24
  6. Step 6: Final answer
    x = 424,451.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.