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Finding the Fourth Proportional to 495,274.40, 742,491.97 and 195,966.14

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Solution

The fourth proportional to 495,274.40, 742,491.97 and 195,966.14 is: 293,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,274.40 : 742,491.97 = 195,966.14 : x
  2. Step 2: Convert to fraction form
    495,274.40/742,491.97 = 195,966.14/x
  3. Step 3: Cross multiply
    495,274.40x = 742,491.97 × 195,966.14
  4. Step 4: Simplify right side
    495,274.40x = 145,503,281,139.52
  5. Step 5: Solve for x
    x = 145,503,281,139.52/495,274.40
  6. Step 6: Final answer
    x = 293,783.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.