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Finding the Fourth Proportional to 294,768.45, 406,368.56 and 249,263.87

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Solution

The fourth proportional to 294,768.45, 406,368.56 and 249,263.87 is: 343,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,768.45 : 406,368.56 = 249,263.87 : x
  2. Step 2: Convert to fraction form
    294,768.45/406,368.56 = 249,263.87/x
  3. Step 3: Cross multiply
    294,768.45x = 406,368.56 × 249,263.87
  4. Step 4: Simplify right side
    294,768.45x = 101,292,998,503.24
  5. Step 5: Solve for x
    x = 101,292,998,503.24/294,768.45
  6. Step 6: Final answer
    x = 343,635.82

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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.