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Finding the Fourth Proportional to 360,407.24, 497,319 and 199,240.64

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Solution

The fourth proportional to 360,407.24, 497,319 and 199,240.64 is: 274,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,407.24 : 497,319 = 199,240.64 : x
  2. Step 2: Convert to fraction form
    360,407.24/497,319 = 199,240.64/x
  3. Step 3: Cross multiply
    360,407.24x = 497,319 × 199,240.64
  4. Step 4: Simplify right side
    360,407.24x = 99,086,155,844.16
  5. Step 5: Solve for x
    x = 99,086,155,844.16/360,407.24
  6. Step 6: Final answer
    x = 274,928.32

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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.