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Finding the Fourth Proportional to 569,506.50, 785,935.38 and 314,874.12

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Solution

The fourth proportional to 569,506.50, 785,935.38 and 314,874.12 is: 434,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,506.50 : 785,935.38 = 314,874.12 : x
  2. Step 2: Convert to fraction form
    569,506.50/785,935.38 = 314,874.12/x
  3. Step 3: Cross multiply
    569,506.50x = 785,935.38 × 314,874.12
  4. Step 4: Simplify right side
    569,506.50x = 247,470,711,154.37
  5. Step 5: Solve for x
    x = 247,470,711,154.37/569,506.50
  6. Step 6: Final answer
    x = 434,535.36

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1.5x scale

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.