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Finding the Fourth Proportional to 324,097.86, 447,210.26 and 180,830.06

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Solution

The fourth proportional to 324,097.86, 447,210.26 and 180,830.06 is: 249,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,097.86 : 447,210.26 = 180,830.06 : x
  2. Step 2: Convert to fraction form
    324,097.86/447,210.26 = 180,830.06/x
  3. Step 3: Cross multiply
    324,097.86x = 447,210.26 × 180,830.06
  4. Step 4: Simplify right side
    324,097.86x = 80,869,058,148.42
  5. Step 5: Solve for x
    x = 80,869,058,148.42/324,097.86
  6. Step 6: Final answer
    x = 249,520.49

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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.