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Finding the Fourth Proportional to 532,949.76, 735,471.36 and 294,485.76

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Solution

The fourth proportional to 532,949.76, 735,471.36 and 294,485.76 is: 406,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,949.76 : 735,471.36 = 294,485.76 : x
  2. Step 2: Convert to fraction form
    532,949.76/735,471.36 = 294,485.76/x
  3. Step 3: Cross multiply
    532,949.76x = 735,471.36 × 294,485.76
  4. Step 4: Simplify right side
    532,949.76x = 216,585,842,407.83
  5. Step 5: Solve for x
    x = 216,585,842,407.83/532,949.76
  6. Step 6: Final answer
    x = 406,390.73

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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.