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Finding the Fourth Proportional to 540,962.63, 746,463.38 and 311,594.52

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Solution

The fourth proportional to 540,962.63, 746,463.38 and 311,594.52 is: 429,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,962.63 : 746,463.38 = 311,594.52 : x
  2. Step 2: Convert to fraction form
    540,962.63/746,463.38 = 311,594.52/x
  3. Step 3: Cross multiply
    540,962.63x = 746,463.38 × 311,594.52
  4. Step 4: Simplify right side
    540,962.63x = 232,593,899,483.23
  5. Step 5: Solve for x
    x = 232,593,899,483.23/540,962.63
  6. Step 6: Final answer
    x = 429,962.97

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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.