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Finding the Fourth Proportional to 520,032.90, 780,308.55 and 295,565.70

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Solution

The fourth proportional to 520,032.90, 780,308.55 and 295,565.70 is: 443,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032.90 : 780,308.55 = 295,565.70 : x
  2. Step 2: Convert to fraction form
    520,032.90/780,308.55 = 295,565.70/x
  3. Step 3: Cross multiply
    520,032.90x = 780,308.55 × 295,565.70
  4. Step 4: Simplify right side
    520,032.90x = 230,632,442,796.74
  5. Step 5: Solve for x
    x = 230,632,442,796.74/520,032.90
  6. Step 6: Final answer
    x = 443,495.87

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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.