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Finding the Fourth Proportional to 569,197.74, 785,461.92 and 314,532.50

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Solution

The fourth proportional to 569,197.74, 785,461.92 and 314,532.50 is: 434,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,197.74 : 785,461.92 = 314,532.50 : x
  2. Step 2: Convert to fraction form
    569,197.74/785,461.92 = 314,532.50/x
  3. Step 3: Cross multiply
    569,197.74x = 785,461.92 × 314,532.50
  4. Step 4: Simplify right side
    569,197.74x = 247,053,301,352.40
  5. Step 5: Solve for x
    x = 247,053,301,352.40/569,197.74
  6. Step 6: Final answer
    x = 434,037.74

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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.