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Finding the Fourth Proportional to 569,349, 785,633.58 and 314,665.56

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Solution

The fourth proportional to 569,349, 785,633.58 and 314,665.56 is: 434,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,349 : 785,633.58 = 314,665.56 : x
  2. Step 2: Convert to fraction form
    569,349/785,633.58 = 314,665.56/x
  3. Step 3: Cross multiply
    569,349x = 785,633.58 × 314,665.56
  4. Step 4: Simplify right side
    569,349x = 247,211,830,405.51
  5. Step 5: Solve for x
    x = 247,211,830,405.51/569,349
  6. Step 6: Final answer
    x = 434,200.87

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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.