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Finding the Fourth Proportional to 538,547.80, 807,821.70 and 164,522.20

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Solution

The fourth proportional to 538,547.80, 807,821.70 and 164,522.20 is: 246,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,547.80 : 807,821.70 = 164,522.20 : x
  2. Step 2: Convert to fraction form
    538,547.80/807,821.70 = 164,522.20/x
  3. Step 3: Cross multiply
    538,547.80x = 807,821.70 × 164,522.20
  4. Step 4: Simplify right side
    538,547.80x = 132,904,603,291.74
  5. Step 5: Solve for x
    x = 132,904,603,291.74/538,547.80
  6. Step 6: Final answer
    x = 246,783.30

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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.