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Finding the Fourth Proportional to 294,800.28, 406,412.22 and 249,295.50

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Solution

The fourth proportional to 294,800.28, 406,412.22 and 249,295.50 is: 343,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,800.28 : 406,412.22 = 249,295.50 : x
  2. Step 2: Convert to fraction form
    294,800.28/406,412.22 = 249,295.50/x
  3. Step 3: Cross multiply
    294,800.28x = 406,412.22 × 249,295.50
  4. Step 4: Simplify right side
    294,800.28x = 101,316,737,591.01
  5. Step 5: Solve for x
    x = 101,316,737,591.01/294,800.28
  6. Step 6: Final answer
    x = 343,679.24

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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.