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Finding the Fourth Proportional to 301,475.52, 416,109.60 and 180,688.32

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Solution

The fourth proportional to 301,475.52, 416,109.60 and 180,688.32 is: 249,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,475.52 : 416,109.60 = 180,688.32 : x
  2. Step 2: Convert to fraction form
    301,475.52/416,109.60 = 180,688.32/x
  3. Step 3: Cross multiply
    301,475.52x = 416,109.60 × 180,688.32
  4. Step 4: Simplify right side
    301,475.52x = 75,186,144,559.87
  5. Step 5: Solve for x
    x = 75,186,144,559.87/301,475.52
  6. Step 6: Final answer
    x = 249,393.86

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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.