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Finding the Fourth Proportional to 654,225.90, 980,757.27 and 254,774.40

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Solution

The fourth proportional to 654,225.90, 980,757.27 and 254,774.40 is: 381,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,225.90 : 980,757.27 = 254,774.40 : x
  2. Step 2: Convert to fraction form
    654,225.90/980,757.27 = 254,774.40/x
  3. Step 3: Cross multiply
    654,225.90x = 980,757.27 × 254,774.40
  4. Step 4: Simplify right side
    654,225.90x = 249,871,845,009.89
  5. Step 5: Solve for x
    x = 249,871,845,009.89/654,225.90
  6. Step 6: Final answer
    x = 381,935.12

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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.