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Finding the Fourth Proportional to 519,985.40, 778,665.90 and 415,009.40

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Solution

The fourth proportional to 519,985.40, 778,665.90 and 415,009.40 is: 621,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,985.40 : 778,665.90 = 415,009.40 : x
  2. Step 2: Convert to fraction form
    519,985.40/778,665.90 = 415,009.40/x
  3. Step 3: Cross multiply
    519,985.40x = 778,665.90 × 415,009.40
  4. Step 4: Simplify right side
    519,985.40x = 323,153,667,959.46
  5. Step 5: Solve for x
    x = 323,153,667,959.46/519,985.40
  6. Step 6: Final answer
    x = 621,466.81

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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.