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Finding the Fourth Proportional to 539,878.14, 745,031.82 and 313,538.22

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Solution

The fourth proportional to 539,878.14, 745,031.82 and 313,538.22 is: 432,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,878.14 : 745,031.82 = 313,538.22 : x
  2. Step 2: Convert to fraction form
    539,878.14/745,031.82 = 313,538.22/x
  3. Step 3: Cross multiply
    539,878.14x = 745,031.82 × 313,538.22
  4. Step 4: Simplify right side
    539,878.14x = 233,595,950,686.16
  5. Step 5: Solve for x
    x = 233,595,950,686.16/539,878.14
  6. Step 6: Final answer
    x = 432,682.74

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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.