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Finding the Fourth Proportional to 475,155.80, 712,582.80 and 155,234.76

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Solution

The fourth proportional to 475,155.80, 712,582.80 and 155,234.76 is: 232,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,155.80 : 712,582.80 = 155,234.76 : x
  2. Step 2: Convert to fraction form
    475,155.80/712,582.80 = 155,234.76/x
  3. Step 3: Cross multiply
    475,155.80x = 712,582.80 × 155,234.76
  4. Step 4: Simplify right side
    475,155.80x = 110,617,619,938.13
  5. Step 5: Solve for x
    x = 110,617,619,938.13/475,155.80
  6. Step 6: Final answer
    x = 232,802.84

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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.