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Finding the Fourth Proportional to 511,281.95, 705,537.40 and 281,827.38

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Solution

The fourth proportional to 511,281.95, 705,537.40 and 281,827.38 is: 388,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,281.95 : 705,537.40 = 281,827.38 : x
  2. Step 2: Convert to fraction form
    511,281.95/705,537.40 = 281,827.38/x
  3. Step 3: Cross multiply
    511,281.95x = 705,537.40 × 281,827.38
  4. Step 4: Simplify right side
    511,281.95x = 198,839,755,434.99
  5. Step 5: Solve for x
    x = 198,839,755,434.99/511,281.95
  6. Step 6: Final answer
    x = 388,904.31

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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.