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Finding the Fourth Proportional to 288,893.68, 433,443.16 and 128,955.12

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Solution

The fourth proportional to 288,893.68, 433,443.16 and 128,955.12 is: 193,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,893.68 : 433,443.16 = 128,955.12 : x
  2. Step 2: Convert to fraction form
    288,893.68/433,443.16 = 128,955.12/x
  3. Step 3: Cross multiply
    288,893.68x = 433,443.16 × 128,955.12
  4. Step 4: Simplify right side
    288,893.68x = 55,894,714,710.98
  5. Step 5: Solve for x
    x = 55,894,714,710.98/288,893.68
  6. Step 6: Final answer
    x = 193,478.50

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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.