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Finding the Fourth Proportional to 312,543.19, 431,311.68 and 169,303.24

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Solution

The fourth proportional to 312,543.19, 431,311.68 and 169,303.24 is: 233,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,543.19 : 431,311.68 = 169,303.24 : x
  2. Step 2: Convert to fraction form
    312,543.19/431,311.68 = 169,303.24/x
  3. Step 3: Cross multiply
    312,543.19x = 431,311.68 × 169,303.24
  4. Step 4: Simplify right side
    312,543.19x = 73,022,464,873.84
  5. Step 5: Solve for x
    x = 73,022,464,873.84/312,543.19
  6. Step 6: Final answer
    x = 233,639.60

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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.