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Finding the Fourth Proportional to 569,037.78, 785,205.21 and 314,373.78

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Solution

The fourth proportional to 569,037.78, 785,205.21 and 314,373.78 is: 433,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,037.78 : 785,205.21 = 314,373.78 : x
  2. Step 2: Convert to fraction form
    569,037.78/785,205.21 = 314,373.78/x
  3. Step 3: Cross multiply
    569,037.78x = 785,205.21 × 314,373.78
  4. Step 4: Simplify right side
    569,037.78x = 246,847,929,943.39
  5. Step 5: Solve for x
    x = 246,847,929,943.39/569,037.78
  6. Step 6: Final answer
    x = 433,798.84

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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.