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Finding the Fourth Proportional to 475,669.68, 713,503.08 and 120,683.04

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Solution

The fourth proportional to 475,669.68, 713,503.08 and 120,683.04 is: 181,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,669.68 : 713,503.08 = 120,683.04 : x
  2. Step 2: Convert to fraction form
    475,669.68/713,503.08 = 120,683.04/x
  3. Step 3: Cross multiply
    475,669.68x = 713,503.08 × 120,683.04
  4. Step 4: Simplify right side
    475,669.68x = 86,107,720,743.76
  5. Step 5: Solve for x
    x = 86,107,720,743.76/475,669.68
  6. Step 6: Final answer
    x = 181,024.19

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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.