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Finding the Fourth Proportional to 458,775.66, 688,163.49 and 143,259.60

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Solution

The fourth proportional to 458,775.66, 688,163.49 and 143,259.60 is: 214,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,775.66 : 688,163.49 = 143,259.60 : x
  2. Step 2: Convert to fraction form
    458,775.66/688,163.49 = 143,259.60/x
  3. Step 3: Cross multiply
    458,775.66x = 688,163.49 × 143,259.60
  4. Step 4: Simplify right side
    458,775.66x = 98,586,026,312.00
  5. Step 5: Solve for x
    x = 98,586,026,312.00/458,775.66
  6. Step 6: Final answer
    x = 214,889.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.