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Finding the Fourth Proportional to 286,776.60, 430,222.32 and 160,596.29

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Solution

The fourth proportional to 286,776.60, 430,222.32 and 160,596.29 is: 240,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776.60 : 430,222.32 = 160,596.29 : x
  2. Step 2: Convert to fraction form
    286,776.60/430,222.32 = 160,596.29/x
  3. Step 3: Cross multiply
    286,776.60x = 430,222.32 × 160,596.29
  4. Step 4: Simplify right side
    286,776.60x = 69,092,106,316.08
  5. Step 5: Solve for x
    x = 69,092,106,316.08/286,776.60
  6. Step 6: Final answer
    x = 240,926.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.