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Finding the Fourth Proportional to 295,887.09, 408,303.68 and 166,830.15

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Solution

The fourth proportional to 295,887.09, 408,303.68 and 166,830.15 is: 230,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,887.09 : 408,303.68 = 166,830.15 : x
  2. Step 2: Convert to fraction form
    295,887.09/408,303.68 = 166,830.15/x
  3. Step 3: Cross multiply
    295,887.09x = 408,303.68 × 166,830.15
  4. Step 4: Simplify right side
    295,887.09x = 68,117,363,345.80
  5. Step 5: Solve for x
    x = 68,117,363,345.80/295,887.09
  6. Step 6: Final answer
    x = 230,214.04

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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.