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Finding the Fourth Proportional to 514,798.67, 772,300.96 and 177,851.63

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Solution

The fourth proportional to 514,798.67, 772,300.96 and 177,851.63 is: 266,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,798.67 : 772,300.96 = 177,851.63 : x
  2. Step 2: Convert to fraction form
    514,798.67/772,300.96 = 177,851.63/x
  3. Step 3: Cross multiply
    514,798.67x = 772,300.96 × 177,851.63
  4. Step 4: Simplify right side
    514,798.67x = 137,354,979,835.80
  5. Step 5: Solve for x
    x = 137,354,979,835.80/514,798.67
  6. Step 6: Final answer
    x = 266,813.01

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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.