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Finding the Fourth Proportional to 565,957, 780,830.04 and 384,353.92

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Solution

The fourth proportional to 565,957, 780,830.04 and 384,353.92 is: 530,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,957 : 780,830.04 = 384,353.92 : x
  2. Step 2: Convert to fraction form
    565,957/780,830.04 = 384,353.92/x
  3. Step 3: Cross multiply
    565,957x = 780,830.04 × 384,353.92
  4. Step 4: Simplify right side
    565,957x = 300,115,086,727.76
  5. Step 5: Solve for x
    x = 300,115,086,727.76/565,957
  6. Step 6: Final answer
    x = 530,278.96

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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.