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Finding the Fourth Proportional to 243,782.40, 364,960.80 and 173,798.40

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Solution

The fourth proportional to 243,782.40, 364,960.80 and 173,798.40 is: 260,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,782.40 : 364,960.80 = 173,798.40 : x
  2. Step 2: Convert to fraction form
    243,782.40/364,960.80 = 173,798.40/x
  3. Step 3: Cross multiply
    243,782.40x = 364,960.80 × 173,798.40
  4. Step 4: Simplify right side
    243,782.40x = 63,429,603,102.72
  5. Step 5: Solve for x
    x = 63,429,603,102.72/243,782.40
  6. Step 6: Final answer
    x = 260,189.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.