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Finding the Fourth Proportional to 289,283.40, 433,953.63 and 99,718.81

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Solution

The fourth proportional to 289,283.40, 433,953.63 and 99,718.81 is: 149,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,283.40 : 433,953.63 = 99,718.81 : x
  2. Step 2: Convert to fraction form
    289,283.40/433,953.63 = 99,718.81/x
  3. Step 3: Cross multiply
    289,283.40x = 433,953.63 × 99,718.81
  4. Step 4: Simplify right side
    289,283.40x = 43,273,337,833.33
  5. Step 5: Solve for x
    x = 43,273,337,833.33/289,283.40
  6. Step 6: Final answer
    x = 149,588.05

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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.