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Finding the Fourth Proportional to 295,242.91, 407,294.89 and 174,303.18

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Solution

The fourth proportional to 295,242.91, 407,294.89 and 174,303.18 is: 240,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,242.91 : 407,294.89 = 174,303.18 : x
  2. Step 2: Convert to fraction form
    295,242.91/407,294.89 = 174,303.18/x
  3. Step 3: Cross multiply
    295,242.91x = 407,294.89 × 174,303.18
  4. Step 4: Simplify right side
    295,242.91x = 70,992,794,524.75
  5. Step 5: Solve for x
    x = 70,992,794,524.75/295,242.91
  6. Step 6: Final answer
    x = 240,455.54

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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.