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Finding the Fourth Proportional to 354,315.96, 531,193.28 and 176,731.56

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Solution

The fourth proportional to 354,315.96, 531,193.28 and 176,731.56 is: 264,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,315.96 : 531,193.28 = 176,731.56 : x
  2. Step 2: Convert to fraction form
    354,315.96/531,193.28 = 176,731.56/x
  3. Step 3: Cross multiply
    354,315.96x = 531,193.28 × 176,731.56
  4. Step 4: Simplify right side
    354,315.96x = 93,878,616,152.26
  5. Step 5: Solve for x
    x = 93,878,616,152.26/354,315.96
  6. Step 6: Final answer
    x = 264,957.35

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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.