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Finding the Fourth Proportional to 419,306.42, 578,627.15 and 256,235.60

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Solution

The fourth proportional to 419,306.42, 578,627.15 and 256,235.60 is: 353,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,306.42 : 578,627.15 = 256,235.60 : x
  2. Step 2: Convert to fraction form
    419,306.42/578,627.15 = 256,235.60/x
  3. Step 3: Cross multiply
    419,306.42x = 578,627.15 × 256,235.60
  4. Step 4: Simplify right side
    419,306.42x = 148,264,875,121.93
  5. Step 5: Solve for x
    x = 148,264,875,121.93/419,306.42
  6. Step 6: Final answer
    x = 353,595.53

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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.