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Finding the Fourth Proportional to 520,123.90, 778,873.65 and 415,147.90

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Solution

The fourth proportional to 520,123.90, 778,873.65 and 415,147.90 is: 621,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,123.90 : 778,873.65 = 415,147.90 : x
  2. Step 2: Convert to fraction form
    520,123.90/778,873.65 = 415,147.90/x
  3. Step 3: Cross multiply
    520,123.90x = 778,873.65 × 415,147.90
  4. Step 4: Simplify right side
    520,123.90x = 323,347,760,162.84
  5. Step 5: Solve for x
    x = 323,347,760,162.84/520,123.90
  6. Step 6: Final answer
    x = 621,674.49

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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.