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Finding the Fourth Proportional to 286,411.51, 395,204.00 and 165,529.47

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Solution

The fourth proportional to 286,411.51, 395,204.00 and 165,529.47 is: 228,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,411.51 : 395,204.00 = 165,529.47 : x
  2. Step 2: Convert to fraction form
    286,411.51/395,204.00 = 165,529.47/x
  3. Step 3: Cross multiply
    286,411.51x = 395,204.00 × 165,529.47
  4. Step 4: Simplify right side
    286,411.51x = 65,417,910,014.58
  5. Step 5: Solve for x
    x = 65,417,910,014.58/286,411.51
  6. Step 6: Final answer
    x = 228,405.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.