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Finding the Fourth Proportional to 275,633.10, 413,461.80 and 155,688.30

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Solution

The fourth proportional to 275,633.10, 413,461.80 and 155,688.30 is: 233,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,633.10 : 413,461.80 = 155,688.30 : x
  2. Step 2: Convert to fraction form
    275,633.10/413,461.80 = 155,688.30/x
  3. Step 3: Cross multiply
    275,633.10x = 413,461.80 × 155,688.30
  4. Step 4: Simplify right side
    275,633.10x = 64,371,164,756.94
  5. Step 5: Solve for x
    x = 64,371,164,756.94/275,633.10
  6. Step 6: Final answer
    x = 233,539.31

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1.5x scale

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.