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Finding the Fourth Proportional to 569,038.28, 785,205.90 and 314,374.28

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Solution

The fourth proportional to 569,038.28, 785,205.90 and 314,374.28 is: 433,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,038.28 : 785,205.90 = 314,374.28 : x
  2. Step 2: Convert to fraction form
    569,038.28/785,205.90 = 314,374.28/x
  3. Step 3: Cross multiply
    569,038.28x = 785,205.90 × 314,374.28
  4. Step 4: Simplify right side
    569,038.28x = 246,848,539,464.25
  5. Step 5: Solve for x
    x = 246,848,539,464.25/569,038.28
  6. Step 6: Final answer
    x = 433,799.53

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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.