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Finding the Fourth Proportional to 502,574.10, 753,511.23 and 186,946.26

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Solution

The fourth proportional to 502,574.10, 753,511.23 and 186,946.26 is: 280,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,574.10 : 753,511.23 = 186,946.26 : x
  2. Step 2: Convert to fraction form
    502,574.10/753,511.23 = 186,946.26/x
  3. Step 3: Cross multiply
    502,574.10x = 753,511.23 × 186,946.26
  4. Step 4: Simplify right side
    502,574.10x = 140,866,106,316.50
  5. Step 5: Solve for x
    x = 140,866,106,316.50/502,574.10
  6. Step 6: Final answer
    x = 280,289.23

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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.