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Finding the Fourth Proportional to 739,701.34, 1,020,777.84 and 413,019.40

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Solution

The fourth proportional to 739,701.34, 1,020,777.84 and 413,019.40 is: 569,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,701.34 : 1,020,777.84 = 413,019.40 : x
  2. Step 2: Convert to fraction form
    739,701.34/1,020,777.84 = 413,019.40/x
  3. Step 3: Cross multiply
    739,701.34x = 1,020,777.84 × 413,019.40
  4. Step 4: Simplify right side
    739,701.34x = 421,601,051,010.10
  5. Step 5: Solve for x
    x = 421,601,051,010.10/739,701.34
  6. Step 6: Final answer
    x = 569,961.18

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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.