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Finding the Fourth Proportional to 295,296.74, 407,381.67 and 180,580.40

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Solution

The fourth proportional to 295,296.74, 407,381.67 and 180,580.40 is: 249,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.74 : 407,381.67 = 180,580.40 : x
  2. Step 2: Convert to fraction form
    295,296.74/407,381.67 = 180,580.40/x
  3. Step 3: Cross multiply
    295,296.74x = 407,381.67 × 180,580.40
  4. Step 4: Simplify right side
    295,296.74x = 73,565,144,921.27
  5. Step 5: Solve for x
    x = 73,565,144,921.27/295,296.74
  6. Step 6: Final answer
    x = 249,122.78

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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.