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Finding the Fourth Proportional to 438,531, 657,900.50 and 143,043

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Solution

The fourth proportional to 438,531, 657,900.50 and 143,043 is: 214,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,531 : 657,900.50 = 143,043 : x
  2. Step 2: Convert to fraction form
    438,531/657,900.50 = 143,043/x
  3. Step 3: Cross multiply
    438,531x = 657,900.50 × 143,043
  4. Step 4: Simplify right side
    438,531x = 94,108,061,221.50
  5. Step 5: Solve for x
    x = 94,108,061,221.50/438,531
  6. Step 6: Final answer
    x = 214,598.42

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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.