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Finding the Fourth Proportional to 433,684.08, 598,405.32 and 249,894

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Solution

The fourth proportional to 433,684.08, 598,405.32 and 249,894 is: 344,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,684.08 : 598,405.32 = 249,894 : x
  2. Step 2: Convert to fraction form
    433,684.08/598,405.32 = 249,894/x
  3. Step 3: Cross multiply
    433,684.08x = 598,405.32 × 249,894
  4. Step 4: Simplify right side
    433,684.08x = 149,537,899,036.08
  5. Step 5: Solve for x
    x = 149,537,899,036.08/433,684.08
  6. Step 6: Final answer
    x = 344,808.37

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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.