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Finding the Fourth Proportional to 707,881.56, 976,849.01 and 432,700.16

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Solution

The fourth proportional to 707,881.56, 976,849.01 and 432,700.16 is: 597,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,881.56 : 976,849.01 = 432,700.16 : x
  2. Step 2: Convert to fraction form
    707,881.56/976,849.01 = 432,700.16/x
  3. Step 3: Cross multiply
    707,881.56x = 976,849.01 × 432,700.16
  4. Step 4: Simplify right side
    707,881.56x = 422,682,715,875.10
  5. Step 5: Solve for x
    x = 422,682,715,875.10/707,881.56
  6. Step 6: Final answer
    x = 597,109.38

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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.