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Finding the Fourth Proportional to 295,006.32, 407,140.08 and 180,352.08

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Solution

The fourth proportional to 295,006.32, 407,140.08 and 180,352.08 is: 248,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,006.32 : 407,140.08 = 180,352.08 : x
  2. Step 2: Convert to fraction form
    295,006.32/407,140.08 = 180,352.08/x
  3. Step 3: Cross multiply
    295,006.32x = 407,140.08 × 180,352.08
  4. Step 4: Simplify right side
    295,006.32x = 73,428,560,279.37
  5. Step 5: Solve for x
    x = 73,428,560,279.37/295,006.32
  6. Step 6: Final answer
    x = 248,905.04

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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.