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Finding the Fourth Proportional to 511,089.80, 705,308.57 and 281,655.32

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Solution

The fourth proportional to 511,089.80, 705,308.57 and 281,655.32 is: 388,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,089.80 : 705,308.57 = 281,655.32 : x
  2. Step 2: Convert to fraction form
    511,089.80/705,308.57 = 281,655.32/x
  3. Step 3: Cross multiply
    511,089.80x = 705,308.57 × 281,655.32
  4. Step 4: Simplify right side
    511,089.80x = 198,653,908,159.69
  5. Step 5: Solve for x
    x = 198,653,908,159.69/511,089.80
  6. Step 6: Final answer
    x = 388,686.89

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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.