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Finding the Fourth Proportional to 551,461.60, 827,192.40 and 314,828.20

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Solution

The fourth proportional to 551,461.60, 827,192.40 and 314,828.20 is: 472,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,461.60 : 827,192.40 = 314,828.20 : x
  2. Step 2: Convert to fraction form
    551,461.60/827,192.40 = 314,828.20/x
  3. Step 3: Cross multiply
    551,461.60x = 827,192.40 × 314,828.20
  4. Step 4: Simplify right side
    551,461.60x = 260,423,494,345.68
  5. Step 5: Solve for x
    x = 260,423,494,345.68/551,461.60
  6. Step 6: Final answer
    x = 472,242.30

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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.