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Finding the Fourth Proportional to 511,709.23, 706,159.42 and 282,261.34

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Solution

The fourth proportional to 511,709.23, 706,159.42 and 282,261.34 is: 389,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,709.23 : 706,159.42 = 282,261.34 : x
  2. Step 2: Convert to fraction form
    511,709.23/706,159.42 = 282,261.34/x
  3. Step 3: Cross multiply
    511,709.23x = 706,159.42 × 282,261.34
  4. Step 4: Simplify right side
    511,709.23x = 199,321,506,261.05
  5. Step 5: Solve for x
    x = 199,321,506,261.05/511,709.23
  6. Step 6: Final answer
    x = 389,521.03

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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.