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Finding the Fourth Proportional to 434,079.40, 651,119.10 and 364,095.40

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Solution

The fourth proportional to 434,079.40, 651,119.10 and 364,095.40 is: 546,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,079.40 : 651,119.10 = 364,095.40 : x
  2. Step 2: Convert to fraction form
    434,079.40/651,119.10 = 364,095.40/x
  3. Step 3: Cross multiply
    434,079.40x = 651,119.10 × 364,095.40
  4. Step 4: Simplify right side
    434,079.40x = 237,069,469,162.14
  5. Step 5: Solve for x
    x = 237,069,469,162.14/434,079.40
  6. Step 6: Final answer
    x = 546,143.10

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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.