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Finding the Fourth Proportional to 330,418.16, 495,646.10 and 93,742.24

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Solution

The fourth proportional to 330,418.16, 495,646.10 and 93,742.24 is: 140,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,418.16 : 495,646.10 = 93,742.24 : x
  2. Step 2: Convert to fraction form
    330,418.16/495,646.10 = 93,742.24/x
  3. Step 3: Cross multiply
    330,418.16x = 495,646.10 × 93,742.24
  4. Step 4: Simplify right side
    330,418.16x = 46,462,975,661.26
  5. Step 5: Solve for x
    x = 46,462,975,661.26/330,418.16
  6. Step 6: Final answer
    x = 140,618.71

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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.