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Finding the Fourth Proportional to 569,119.59, 785,384.78 and 314,468.55

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Solution

The fourth proportional to 569,119.59, 785,384.78 and 314,468.55 is: 433,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,119.59 : 785,384.78 = 314,468.55 : x
  2. Step 2: Convert to fraction form
    569,119.59/785,384.78 = 314,468.55/x
  3. Step 3: Cross multiply
    569,119.59x = 785,384.78 × 314,468.55
  4. Step 4: Simplify right side
    569,119.59x = 246,978,811,386.33
  5. Step 5: Solve for x
    x = 246,978,811,386.33/569,119.59
  6. Step 6: Final answer
    x = 433,966.46

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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.