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Finding the Fourth Proportional to 434,537.70, 651,806.55 and 301,827.30

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Solution

The fourth proportional to 434,537.70, 651,806.55 and 301,827.30 is: 452,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,537.70 : 651,806.55 = 301,827.30 : x
  2. Step 2: Convert to fraction form
    434,537.70/651,806.55 = 301,827.30/x
  3. Step 3: Cross multiply
    434,537.70x = 651,806.55 × 301,827.30
  4. Step 4: Simplify right side
    434,537.70x = 196,733,011,108.82
  5. Step 5: Solve for x
    x = 196,733,011,108.82/434,537.70
  6. Step 6: Final answer
    x = 452,740.95

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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.