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Finding the Fourth Proportional to 295,145.16, 407,288.25 and 174,325.56

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Solution

The fourth proportional to 295,145.16, 407,288.25 and 174,325.56 is: 240,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,145.16 : 407,288.25 = 174,325.56 : x
  2. Step 2: Convert to fraction form
    295,145.16/407,288.25 = 174,325.56/x
  3. Step 3: Cross multiply
    295,145.16x = 407,288.25 × 174,325.56
  4. Step 4: Simplify right side
    295,145.16x = 71,000,752,262.67
  5. Step 5: Solve for x
    x = 71,000,752,262.67/295,145.16
  6. Step 6: Final answer
    x = 240,562.14

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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.