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Finding the Fourth Proportional to 569,167.36, 785,500.65 and 314,567.74

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Solution

The fourth proportional to 569,167.36, 785,500.65 and 314,567.74 is: 434,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,167.36 : 785,500.65 = 314,567.74 : x
  2. Step 2: Convert to fraction form
    569,167.36/785,500.65 = 314,567.74/x
  3. Step 3: Cross multiply
    569,167.36x = 785,500.65 × 314,567.74
  4. Step 4: Simplify right side
    569,167.36x = 247,093,164,239.03
  5. Step 5: Solve for x
    x = 247,093,164,239.03/569,167.36
  6. Step 6: Final answer
    x = 434,130.95

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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.