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Finding the Fourth Proportional to 589,045, 883,567.50 and 145,813

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Solution

The fourth proportional to 589,045, 883,567.50 and 145,813 is: 218,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,045 : 883,567.50 = 145,813 : x
  2. Step 2: Convert to fraction form
    589,045/883,567.50 = 145,813/x
  3. Step 3: Cross multiply
    589,045x = 883,567.50 × 145,813
  4. Step 4: Simplify right side
    589,045x = 128,835,627,877.50
  5. Step 5: Solve for x
    x = 128,835,627,877.50/589,045
  6. Step 6: Final answer
    x = 218,719.50

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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.