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Finding the Fourth Proportional to 598,101.60, 825,398.64 and 343,503.84

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Solution

The fourth proportional to 598,101.60, 825,398.64 and 343,503.84 is: 474,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,101.60 : 825,398.64 = 343,503.84 : x
  2. Step 2: Convert to fraction form
    598,101.60/825,398.64 = 343,503.84/x
  3. Step 3: Cross multiply
    598,101.60x = 825,398.64 × 343,503.84
  4. Step 4: Simplify right side
    598,101.60x = 283,527,602,370.78
  5. Step 5: Solve for x
    x = 283,527,602,370.78/598,101.60
  6. Step 6: Final answer
    x = 474,045.89

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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.