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Finding the Fourth Proportional to 567,075.40, 782,218.02 and 337,478.76

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Solution

The fourth proportional to 567,075.40, 782,218.02 and 337,478.76 is: 465,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,075.40 : 782,218.02 = 337,478.76 : x
  2. Step 2: Convert to fraction form
    567,075.40/782,218.02 = 337,478.76/x
  3. Step 3: Cross multiply
    567,075.40x = 782,218.02 × 337,478.76
  4. Step 4: Simplify right side
    567,075.40x = 263,981,967,439.26
  5. Step 5: Solve for x
    x = 263,981,967,439.26/567,075.40
  6. Step 6: Final answer
    x = 465,514.76

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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.