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Finding the Fourth Proportional to 569,050.53, 785,305.67 and 314,418.21

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Solution

The fourth proportional to 569,050.53, 785,305.67 and 314,418.21 is: 433,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,050.53 : 785,305.67 = 314,418.21 : x
  2. Step 2: Convert to fraction form
    569,050.53/785,305.67 = 314,418.21/x
  3. Step 3: Cross multiply
    569,050.53x = 785,305.67 × 314,418.21
  4. Step 4: Simplify right side
    569,050.53x = 246,914,401,492.16
  5. Step 5: Solve for x
    x = 246,914,401,492.16/569,050.53
  6. Step 6: Final answer
    x = 433,905.93

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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.