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Finding the Fourth Proportional to 289,923.71, 400,114.69 and 162,607.50

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Solution

The fourth proportional to 289,923.71, 400,114.69 and 162,607.50 is: 224,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,923.71 : 400,114.69 = 162,607.50 : x
  2. Step 2: Convert to fraction form
    289,923.71/400,114.69 = 162,607.50/x
  3. Step 3: Cross multiply
    289,923.71x = 400,114.69 × 162,607.50
  4. Step 4: Simplify right side
    289,923.71x = 65,061,649,047.66
  5. Step 5: Solve for x
    x = 65,061,649,047.66/289,923.71
  6. Step 6: Final answer
    x = 224,409.55

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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.