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Finding the Fourth Proportional to 475,235.38, 713,012.22 and 155,402

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Solution

The fourth proportional to 475,235.38, 713,012.22 and 155,402 is: 233,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,235.38 : 713,012.22 = 155,402 : x
  2. Step 2: Convert to fraction form
    475,235.38/713,012.22 = 155,402/x
  3. Step 3: Cross multiply
    475,235.38x = 713,012.22 × 155,402
  4. Step 4: Simplify right side
    475,235.38x = 110,803,525,012.44
  5. Step 5: Solve for x
    x = 110,803,525,012.44/475,235.38
  6. Step 6: Final answer
    x = 233,155.04

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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.