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Finding the Fourth Proportional to 310,217.40, 434,894.86 and 310,217.40

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Solution

The fourth proportional to 310,217.40, 434,894.86 and 310,217.40 is: 434,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,217.40 : 434,894.86 = 310,217.40 : x
  2. Step 2: Convert to fraction form
    310,217.40/434,894.86 = 310,217.40/x
  3. Step 3: Cross multiply
    310,217.40x = 434,894.86 × 310,217.40
  4. Step 4: Simplify right side
    310,217.40x = 134,911,952,742.56
  5. Step 5: Solve for x
    x = 134,911,952,742.56/310,217.40
  6. Step 6: Final answer
    x = 434,894.86

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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.