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Finding the Fourth Proportional to 310,216.40, 434,893.46 and 310,216.40

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Solution

The fourth proportional to 310,216.40, 434,893.46 and 310,216.40 is: 434,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,216.40 : 434,893.46 = 310,216.40 : x
  2. Step 2: Convert to fraction form
    310,216.40/434,893.46 = 310,216.40/x
  3. Step 3: Cross multiply
    310,216.40x = 434,893.46 × 310,216.40
  4. Step 4: Simplify right side
    310,216.40x = 134,911,083,544.74
  5. Step 5: Solve for x
    x = 134,911,083,544.74/310,216.40
  6. Step 6: Final answer
    x = 434,893.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.