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Finding the Fourth Proportional to 511,526.95, 705,890.90 and 282,093.84

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Solution

The fourth proportional to 511,526.95, 705,890.90 and 282,093.84 is: 389,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,526.95 : 705,890.90 = 282,093.84 : x
  2. Step 2: Convert to fraction form
    511,526.95/705,890.90 = 282,093.84/x
  3. Step 3: Cross multiply
    511,526.95x = 705,890.90 × 282,093.84
  4. Step 4: Simplify right side
    511,526.95x = 199,127,475,307.29
  5. Step 5: Solve for x
    x = 199,127,475,307.29/511,526.95
  6. Step 6: Final answer
    x = 389,280.52

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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.