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Finding the Fourth Proportional to 520,400.80, 780,212.40 and 284,010.40

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Solution

The fourth proportional to 520,400.80, 780,212.40 and 284,010.40 is: 425,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,400.80 : 780,212.40 = 284,010.40 : x
  2. Step 2: Convert to fraction form
    520,400.80/780,212.40 = 284,010.40/x
  3. Step 3: Cross multiply
    520,400.80x = 780,212.40 × 284,010.40
  4. Step 4: Simplify right side
    520,400.80x = 221,588,435,808.96
  5. Step 5: Solve for x
    x = 221,588,435,808.96/520,400.80
  6. Step 6: Final answer
    x = 425,803.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.