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Finding the Fourth Proportional to 280,074.94, 386,501.64 and 159,216.22

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Solution

The fourth proportional to 280,074.94, 386,501.64 and 159,216.22 is: 219,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074.94 : 386,501.64 = 159,216.22 : x
  2. Step 2: Convert to fraction form
    280,074.94/386,501.64 = 159,216.22/x
  3. Step 3: Cross multiply
    280,074.94x = 386,501.64 × 159,216.22
  4. Step 4: Simplify right side
    280,074.94x = 61,537,330,030.67
  5. Step 5: Solve for x
    x = 61,537,330,030.67/280,074.94
  6. Step 6: Final answer
    x = 219,717.37

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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.