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Finding the Fourth Proportional to 732,305, 1,010,596.26 and 414,353

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Solution

The fourth proportional to 732,305, 1,010,596.26 and 414,353 is: 571,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,305 : 1,010,596.26 = 414,353 : x
  2. Step 2: Convert to fraction form
    732,305/1,010,596.26 = 414,353/x
  3. Step 3: Cross multiply
    732,305x = 1,010,596.26 × 414,353
  4. Step 4: Simplify right side
    732,305x = 418,743,592,119.78
  5. Step 5: Solve for x
    x = 418,743,592,119.78/732,305
  6. Step 6: Final answer
    x = 571,815.83

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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.