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Finding the Fourth Proportional to 495,483.84, 742,963.30 and 195,952.32

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Solution

The fourth proportional to 495,483.84, 742,963.30 and 195,952.32 is: 293,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,483.84 : 742,963.30 = 195,952.32 : x
  2. Step 2: Convert to fraction form
    495,483.84/742,963.30 = 195,952.32/x
  3. Step 3: Cross multiply
    495,483.84x = 742,963.30 × 195,952.32
  4. Step 4: Simplify right side
    495,483.84x = 145,585,382,309.86
  5. Step 5: Solve for x
    x = 145,585,382,309.86/495,483.84
  6. Step 6: Final answer
    x = 293,824.68

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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.