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Finding the Fourth Proportional to 475,050.66, 712,580.61 and 380,044.83

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Solution

The fourth proportional to 475,050.66, 712,580.61 and 380,044.83 is: 570,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,050.66 : 712,580.61 = 380,044.83 : x
  2. Step 2: Convert to fraction form
    475,050.66/712,580.61 = 380,044.83/x
  3. Step 3: Cross multiply
    475,050.66x = 712,580.61 × 380,044.83
  4. Step 4: Simplify right side
    475,050.66x = 270,812,576,788.75
  5. Step 5: Solve for x
    x = 270,812,576,788.75/475,050.66
  6. Step 6: Final answer
    x = 570,070.94

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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.