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Finding the Fourth Proportional to 569,179.84, 785,437.27 and 314,514.63

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Solution

The fourth proportional to 569,179.84, 785,437.27 and 314,514.63 is: 434,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,179.84 : 785,437.27 = 314,514.63 : x
  2. Step 2: Convert to fraction form
    569,179.84/785,437.27 = 314,514.63/x
  3. Step 3: Cross multiply
    569,179.84x = 785,437.27 × 314,514.63
  4. Step 4: Simplify right side
    569,179.84x = 247,031,512,362.26
  5. Step 5: Solve for x
    x = 247,031,512,362.26/569,179.84
  6. Step 6: Final answer
    x = 434,013.11

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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.