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Finding the Fourth Proportional to 489,985, 734,977.50 and 157,561

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Solution

The fourth proportional to 489,985, 734,977.50 and 157,561 is: 236,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,985 : 734,977.50 = 157,561 : x
  2. Step 2: Convert to fraction form
    489,985/734,977.50 = 157,561/x
  3. Step 3: Cross multiply
    489,985x = 734,977.50 × 157,561
  4. Step 4: Simplify right side
    489,985x = 115,803,789,877.50
  5. Step 5: Solve for x
    x = 115,803,789,877.50/489,985
  6. Step 6: Final answer
    x = 236,341.50

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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.