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Finding the Fourth Proportional to 433,706.32, 598,400.94 and 249,899.86

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Solution

The fourth proportional to 433,706.32, 598,400.94 and 249,899.86 is: 344,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,706.32 : 598,400.94 = 249,899.86 : x
  2. Step 2: Convert to fraction form
    433,706.32/598,400.94 = 249,899.86/x
  3. Step 3: Cross multiply
    433,706.32x = 598,400.94 × 249,899.86
  4. Step 4: Simplify right side
    433,706.32x = 149,540,311,129.87
  5. Step 5: Solve for x
    x = 149,540,311,129.87/433,706.32
  6. Step 6: Final answer
    x = 344,796.25

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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.