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Finding the Fourth Proportional to 287,852.60, 431,390.10 and 254,415.80

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Solution

The fourth proportional to 287,852.60, 431,390.10 and 254,415.80 is: 381,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,852.60 : 431,390.10 = 254,415.80 : x
  2. Step 2: Convert to fraction form
    287,852.60/431,390.10 = 254,415.80/x
  3. Step 3: Cross multiply
    287,852.60x = 431,390.10 × 254,415.80
  4. Step 4: Simplify right side
    287,852.60x = 109,752,457,403.58
  5. Step 5: Solve for x
    x = 109,752,457,403.58/287,852.60
  6. Step 6: Final answer
    x = 381,280.06

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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.