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Finding the Fourth Proportional to 514,448.55, 771,709.68 and 177,484.23

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Solution

The fourth proportional to 514,448.55, 771,709.68 and 177,484.23 is: 266,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,448.55 : 771,709.68 = 177,484.23 : x
  2. Step 2: Convert to fraction form
    514,448.55/771,709.68 = 177,484.23/x
  3. Step 3: Cross multiply
    514,448.55x = 771,709.68 × 177,484.23
  4. Step 4: Simplify right side
    514,448.55x = 136,966,298,338.35
  5. Step 5: Solve for x
    x = 136,966,298,338.35/514,448.55
  6. Step 6: Final answer
    x = 266,239.06

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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.