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Finding the Fourth Proportional to 511,570.90, 705,782.73 and 296,592.58

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Solution

The fourth proportional to 511,570.90, 705,782.73 and 296,592.58 is: 409,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,570.90 : 705,782.73 = 296,592.58 : x
  2. Step 2: Convert to fraction form
    511,570.90/705,782.73 = 296,592.58/x
  3. Step 3: Cross multiply
    511,570.90x = 705,782.73 × 296,592.58
  4. Step 4: Simplify right side
    511,570.90x = 209,329,920,810.14
  5. Step 5: Solve for x
    x = 209,329,920,810.14/511,570.90
  6. Step 6: Final answer
    x = 409,190.44

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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.