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Finding the Fourth Proportional to 707,132.28, 975,864.24 and 401,221.38

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Solution

The fourth proportional to 707,132.28, 975,864.24 and 401,221.38 is: 553,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,132.28 : 975,864.24 = 401,221.38 : x
  2. Step 2: Convert to fraction form
    707,132.28/975,864.24 = 401,221.38/x
  3. Step 3: Cross multiply
    707,132.28x = 975,864.24 × 401,221.38
  4. Step 4: Simplify right side
    707,132.28x = 391,537,597,065.45
  5. Step 5: Solve for x
    x = 391,537,597,065.45/707,132.28
  6. Step 6: Final answer
    x = 553,697.81

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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.