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Finding the Fourth Proportional to 410,988.50, 567,185.76 and 249,817.40

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Solution

The fourth proportional to 410,988.50, 567,185.76 and 249,817.40 is: 344,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,988.50 : 567,185.76 = 249,817.40 : x
  2. Step 2: Convert to fraction form
    410,988.50/567,185.76 = 249,817.40/x
  3. Step 3: Cross multiply
    410,988.50x = 567,185.76 × 249,817.40
  4. Step 4: Simplify right side
    410,988.50x = 141,692,871,880.22
  5. Step 5: Solve for x
    x = 141,692,871,880.22/410,988.50
  6. Step 6: Final answer
    x = 344,761.16

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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.