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Finding the Fourth Proportional to 289,808.93, 434,838.54 and 156,782.90

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Solution

The fourth proportional to 289,808.93, 434,838.54 and 156,782.90 is: 235,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,808.93 : 434,838.54 = 156,782.90 : x
  2. Step 2: Convert to fraction form
    289,808.93/434,838.54 = 156,782.90/x
  3. Step 3: Cross multiply
    289,808.93x = 434,838.54 × 156,782.90
  4. Step 4: Simplify right side
    289,808.93x = 68,175,247,332.97
  5. Step 5: Solve for x
    x = 68,175,247,332.97/289,808.93
  6. Step 6: Final answer
    x = 235,242.05

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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.