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Finding the Fourth Proportional to 282,343, 423,514.50 and 85,351

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Solution

The fourth proportional to 282,343, 423,514.50 and 85,351 is: 128,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,343 : 423,514.50 = 85,351 : x
  2. Step 2: Convert to fraction form
    282,343/423,514.50 = 85,351/x
  3. Step 3: Cross multiply
    282,343x = 423,514.50 × 85,351
  4. Step 4: Simplify right side
    282,343x = 36,147,386,089.50
  5. Step 5: Solve for x
    x = 36,147,386,089.50/282,343
  6. Step 6: Final answer
    x = 128,026.50

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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.