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Finding the Fourth Proportional to 301,511.96, 416,281.22 and 186,913.07

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Solution

The fourth proportional to 301,511.96, 416,281.22 and 186,913.07 is: 258,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,511.96 : 416,281.22 = 186,913.07 : x
  2. Step 2: Convert to fraction form
    301,511.96/416,281.22 = 186,913.07/x
  3. Step 3: Cross multiply
    301,511.96x = 416,281.22 × 186,913.07
  4. Step 4: Simplify right side
    301,511.96x = 77,808,400,240.13
  5. Step 5: Solve for x
    x = 77,808,400,240.13/301,511.96
  6. Step 6: Final answer
    x = 258,060.74

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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.