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Finding the Fourth Proportional to 515,193.48, 710,145.52 and 406,119.94

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Solution

The fourth proportional to 515,193.48, 710,145.52 and 406,119.94 is: 559,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,193.48 : 710,145.52 = 406,119.94 : x
  2. Step 2: Convert to fraction form
    515,193.48/710,145.52 = 406,119.94/x
  3. Step 3: Cross multiply
    515,193.48x = 710,145.52 × 406,119.94
  4. Step 4: Simplify right side
    515,193.48x = 288,404,253,183.01
  5. Step 5: Solve for x
    x = 288,404,253,183.01/515,193.48
  6. Step 6: Final answer
    x = 559,797.95

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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.