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Finding the Fourth Proportional to 563,143.54, 777,193.80 and 321,462.46

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Solution

The fourth proportional to 563,143.54, 777,193.80 and 321,462.46 is: 443,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,143.54 : 777,193.80 = 321,462.46 : x
  2. Step 2: Convert to fraction form
    563,143.54/777,193.80 = 321,462.46/x
  3. Step 3: Cross multiply
    563,143.54x = 777,193.80 × 321,462.46
  4. Step 4: Simplify right side
    563,143.54x = 249,838,630,844.75
  5. Step 5: Solve for x
    x = 249,838,630,844.75/563,143.54
  6. Step 6: Final answer
    x = 443,650.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.