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Finding the Fourth Proportional to 456,855, 685,282.50 and 124,431

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Solution

The fourth proportional to 456,855, 685,282.50 and 124,431 is: 186,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,855 : 685,282.50 = 124,431 : x
  2. Step 2: Convert to fraction form
    456,855/685,282.50 = 124,431/x
  3. Step 3: Cross multiply
    456,855x = 685,282.50 × 124,431
  4. Step 4: Simplify right side
    456,855x = 85,270,386,757.50
  5. Step 5: Solve for x
    x = 85,270,386,757.50/456,855
  6. Step 6: Final answer
    x = 186,646.50

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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.