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Finding the Fourth Proportional to 286,411.51, 395,254.12 and 157,351.64

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Solution

The fourth proportional to 286,411.51, 395,254.12 and 157,351.64 is: 217,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,411.51 : 395,254.12 = 157,351.64 : x
  2. Step 2: Convert to fraction form
    286,411.51/395,254.12 = 157,351.64/x
  3. Step 3: Cross multiply
    286,411.51x = 395,254.12 × 157,351.64
  4. Step 4: Simplify right side
    286,411.51x = 62,193,883,998.76
  5. Step 5: Solve for x
    x = 62,193,883,998.76/286,411.51
  6. Step 6: Final answer
    x = 217,148.69

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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.