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Finding the Fourth Proportional to 286,777.10, 430,223.07 and 160,596.79

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Solution

The fourth proportional to 286,777.10, 430,223.07 and 160,596.79 is: 240,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,777.10 : 430,223.07 = 160,596.79 : x
  2. Step 2: Convert to fraction form
    286,777.10/430,223.07 = 160,596.79/x
  3. Step 3: Cross multiply
    286,777.10x = 430,223.07 × 160,596.79
  4. Step 4: Simplify right side
    286,777.10x = 69,092,444,025.95
  5. Step 5: Solve for x
    x = 69,092,444,025.95/286,777.10
  6. Step 6: Final answer
    x = 240,927.34

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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.