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Finding the Fourth Proportional to 511,006.32, 705,032.64 and 296,104.92

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Solution

The fourth proportional to 511,006.32, 705,032.64 and 296,104.92 is: 408,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,006.32 : 705,032.64 = 296,104.92 : x
  2. Step 2: Convert to fraction form
    511,006.32/705,032.64 = 296,104.92/x
  3. Step 3: Cross multiply
    511,006.32x = 705,032.64 × 296,104.92
  4. Step 4: Simplify right side
    511,006.32x = 208,763,633,464.59
  5. Step 5: Solve for x
    x = 208,763,633,464.59/511,006.32
  6. Step 6: Final answer
    x = 408,534.35

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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.