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Finding the Fourth Proportional to 569,500.50, 785,927.10 and 314,868.12

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Solution

The fourth proportional to 569,500.50, 785,927.10 and 314,868.12 is: 434,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,500.50 : 785,927.10 = 314,868.12 : x
  2. Step 2: Convert to fraction form
    569,500.50/785,927.10 = 314,868.12/x
  3. Step 3: Cross multiply
    569,500.50x = 785,927.10 × 314,868.12
  4. Step 4: Simplify right side
    569,500.50x = 247,463,388,434.05
  5. Step 5: Solve for x
    x = 247,463,388,434.05/569,500.50
  6. Step 6: Final answer
    x = 434,527.08

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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.