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Finding the Fourth Proportional to 357,946.32, 535,751.16 and 263,151.42

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Solution

The fourth proportional to 357,946.32, 535,751.16 and 263,151.42 is: 393,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,946.32 : 535,751.16 = 263,151.42 : x
  2. Step 2: Convert to fraction form
    357,946.32/535,751.16 = 263,151.42/x
  3. Step 3: Cross multiply
    357,946.32x = 535,751.16 × 263,151.42
  4. Step 4: Simplify right side
    357,946.32x = 140,983,678,520.65
  5. Step 5: Solve for x
    x = 140,983,678,520.65/357,946.32
  6. Step 6: Final answer
    x = 393,868.22

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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.