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Finding the Fourth Proportional to 532,914, 735,421.32 and 306,559.50

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Solution

The fourth proportional to 532,914, 735,421.32 and 306,559.50 is: 423,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,914 : 735,421.32 = 306,559.50 : x
  2. Step 2: Convert to fraction form
    532,914/735,421.32 = 306,559.50/x
  3. Step 3: Cross multiply
    532,914x = 735,421.32 × 306,559.50
  4. Step 4: Simplify right side
    532,914x = 225,450,392,148.54
  5. Step 5: Solve for x
    x = 225,450,392,148.54/532,914
  6. Step 6: Final answer
    x = 423,052.11

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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.