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Finding the Fourth Proportional to 569,103.84, 785,363.04 and 314,452.80

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Solution

The fourth proportional to 569,103.84, 785,363.04 and 314,452.80 is: 433,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,103.84 : 785,363.04 = 314,452.80 : x
  2. Step 2: Convert to fraction form
    569,103.84/785,363.04 = 314,452.80/x
  3. Step 3: Cross multiply
    569,103.84x = 785,363.04 × 314,452.80
  4. Step 4: Simplify right side
    569,103.84x = 246,959,606,944.51
  5. Step 5: Solve for x
    x = 246,959,606,944.51/569,103.84
  6. Step 6: Final answer
    x = 433,944.72

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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.