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Finding the Fourth Proportional to 360,803.16, 497,900.91 and 199,658.10

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Solution

The fourth proportional to 360,803.16, 497,900.91 and 199,658.10 is: 275,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,803.16 : 497,900.91 = 199,658.10 : x
  2. Step 2: Convert to fraction form
    360,803.16/497,900.91 = 199,658.10/x
  3. Step 3: Cross multiply
    360,803.16x = 497,900.91 × 199,658.10
  4. Step 4: Simplify right side
    360,803.16x = 99,409,949,678.87
  5. Step 5: Solve for x
    x = 99,409,949,678.87/360,803.16
  6. Step 6: Final answer
    x = 275,524.05

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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.