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Finding the Fourth Proportional to 565,280.32, 846,074.40 and 415,480.96

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Solution

The fourth proportional to 565,280.32, 846,074.40 and 415,480.96 is: 621,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,280.32 : 846,074.40 = 415,480.96 : x
  2. Step 2: Convert to fraction form
    565,280.32/846,074.40 = 415,480.96/x
  3. Step 3: Cross multiply
    565,280.32x = 846,074.40 × 415,480.96
  4. Step 4: Simplify right side
    565,280.32x = 351,527,803,943.42
  5. Step 5: Solve for x
    x = 351,527,803,943.42/565,280.32
  6. Step 6: Final answer
    x = 621,864.57

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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.