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Finding the Fourth Proportional to 360,419.36, 497,358.63 and 199,265.00

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Solution

The fourth proportional to 360,419.36, 497,358.63 and 199,265.00 is: 274,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,419.36 : 497,358.63 = 199,265.00 : x
  2. Step 2: Convert to fraction form
    360,419.36/497,358.63 = 199,265.00/x
  3. Step 3: Cross multiply
    360,419.36x = 497,358.63 × 199,265.00
  4. Step 4: Simplify right side
    360,419.36x = 99,106,164,920.16
  5. Step 5: Solve for x
    x = 99,106,164,920.16/360,419.36
  6. Step 6: Final answer
    x = 274,974.59

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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.