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Finding the Fourth Proportional to 295,013.80, 407,000.10 and 170,753.02

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Solution

The fourth proportional to 295,013.80, 407,000.10 and 170,753.02 is: 235,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,013.80 : 407,000.10 = 170,753.02 : x
  2. Step 2: Convert to fraction form
    295,013.80/407,000.10 = 170,753.02/x
  3. Step 3: Cross multiply
    295,013.80x = 407,000.10 × 170,753.02
  4. Step 4: Simplify right side
    295,013.80x = 69,496,496,215.30
  5. Step 5: Solve for x
    x = 69,496,496,215.30/295,013.80
  6. Step 6: Final answer
    x = 235,570.32

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1.5x scale

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.