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Finding the Fourth Proportional to 653,908.60, 980,133.90 and 254,416.60

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Solution

The fourth proportional to 653,908.60, 980,133.90 and 254,416.60 is: 381,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,908.60 : 980,133.90 = 254,416.60 : x
  2. Step 2: Convert to fraction form
    653,908.60/980,133.90 = 254,416.60/x
  3. Step 3: Cross multiply
    653,908.60x = 980,133.90 × 254,416.60
  4. Step 4: Simplify right side
    653,908.60x = 249,362,334,382.74
  5. Step 5: Solve for x
    x = 249,362,334,382.74/653,908.60
  6. Step 6: Final answer
    x = 381,341.27

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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.