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Finding the Fourth Proportional to 388,945, 583,417.50 and 93,457

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Solution

The fourth proportional to 388,945, 583,417.50 and 93,457 is: 140,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,945 : 583,417.50 = 93,457 : x
  2. Step 2: Convert to fraction form
    388,945/583,417.50 = 93,457/x
  3. Step 3: Cross multiply
    388,945x = 583,417.50 × 93,457
  4. Step 4: Simplify right side
    388,945x = 54,524,449,297.50
  5. Step 5: Solve for x
    x = 54,524,449,297.50/388,945
  6. Step 6: Final answer
    x = 140,185.50

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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.