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Finding the Fourth Proportional to 466,547.40, 699,821.10 and 186,265.80

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Solution

The fourth proportional to 466,547.40, 699,821.10 and 186,265.80 is: 279,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,547.40 : 699,821.10 = 186,265.80 : x
  2. Step 2: Convert to fraction form
    466,547.40/699,821.10 = 186,265.80/x
  3. Step 3: Cross multiply
    466,547.40x = 699,821.10 × 186,265.80
  4. Step 4: Simplify right side
    466,547.40x = 130,352,737,048.38
  5. Step 5: Solve for x
    x = 130,352,737,048.38/466,547.40
  6. Step 6: Final answer
    x = 279,398.70

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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.