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Finding the Fourth Proportional to 469,573.76, 704,336.16 and 153,989.12

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Solution

The fourth proportional to 469,573.76, 704,336.16 and 153,989.12 is: 230,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,573.76 : 704,336.16 = 153,989.12 : x
  2. Step 2: Convert to fraction form
    469,573.76/704,336.16 = 153,989.12/x
  3. Step 3: Cross multiply
    469,573.76x = 704,336.16 × 153,989.12
  4. Step 4: Simplify right side
    469,573.76x = 108,460,105,462.58
  5. Step 5: Solve for x
    x = 108,460,105,462.58/469,573.76
  6. Step 6: Final answer
    x = 230,975.65

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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.