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Finding the Fourth Proportional to 434,095.20, 651,110.40 and 181,310.40

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Solution

The fourth proportional to 434,095.20, 651,110.40 and 181,310.40 is: 271,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,095.20 : 651,110.40 = 181,310.40 : x
  2. Step 2: Convert to fraction form
    434,095.20/651,110.40 = 181,310.40/x
  3. Step 3: Cross multiply
    434,095.20x = 651,110.40 × 181,310.40
  4. Step 4: Simplify right side
    434,095.20x = 118,053,087,068.16
  5. Step 5: Solve for x
    x = 118,053,087,068.16/434,095.20
  6. Step 6: Final answer
    x = 271,952.07

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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.