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Finding the Fourth Proportional to 576,009.24, 794,911.84 and 314,378.84

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Solution

The fourth proportional to 576,009.24, 794,911.84 and 314,378.84 is: 433,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,009.24 : 794,911.84 = 314,378.84 : x
  2. Step 2: Convert to fraction form
    576,009.24/794,911.84 = 314,378.84/x
  3. Step 3: Cross multiply
    576,009.24x = 794,911.84 × 314,378.84
  4. Step 4: Simplify right side
    576,009.24x = 249,903,462,161.47
  5. Step 5: Solve for x
    x = 249,903,462,161.47/576,009.24
  6. Step 6: Final answer
    x = 433,853.22

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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.