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Finding the Fourth Proportional to 475,020.72, 712,352.64 and 155,097.84

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Solution

The fourth proportional to 475,020.72, 712,352.64 and 155,097.84 is: 232,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,020.72 : 712,352.64 = 155,097.84 : x
  2. Step 2: Convert to fraction form
    475,020.72/712,352.64 = 155,097.84/x
  3. Step 3: Cross multiply
    475,020.72x = 712,352.64 × 155,097.84
  4. Step 4: Simplify right side
    475,020.72x = 110,484,355,782.30
  5. Step 5: Solve for x
    x = 110,484,355,782.30/475,020.72
  6. Step 6: Final answer
    x = 232,588.50

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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.