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Finding the Fourth Proportional to 301,511.64, 416,055.24 and 174,228.24

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Solution

The fourth proportional to 301,511.64, 416,055.24 and 174,228.24 is: 240,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,511.64 : 416,055.24 = 174,228.24 : x
  2. Step 2: Convert to fraction form
    301,511.64/416,055.24 = 174,228.24/x
  3. Step 3: Cross multiply
    301,511.64x = 416,055.24 × 174,228.24
  4. Step 4: Simplify right side
    301,511.64x = 72,488,572,207.98
  5. Step 5: Solve for x
    x = 72,488,572,207.98/301,511.64
  6. Step 6: Final answer
    x = 240,417.16

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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.