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Finding the Fourth Proportional to 708,846.13, 978,172.08 and 402,882.13

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Solution

The fourth proportional to 708,846.13, 978,172.08 and 402,882.13 is: 555,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,846.13 : 978,172.08 = 402,882.13 : x
  2. Step 2: Convert to fraction form
    708,846.13/978,172.08 = 402,882.13/x
  3. Step 3: Cross multiply
    708,846.13x = 978,172.08 × 402,882.13
  4. Step 4: Simplify right side
    708,846.13x = 394,088,051,096.93
  5. Step 5: Solve for x
    x = 394,088,051,096.93/708,846.13
  6. Step 6: Final answer
    x = 555,957.12

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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.