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Finding the Fourth Proportional to 515,547.96, 773,135.94 and 178,497.24

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Solution

The fourth proportional to 515,547.96, 773,135.94 and 178,497.24 is: 267,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,547.96 : 773,135.94 = 178,497.24 : x
  2. Step 2: Convert to fraction form
    515,547.96/773,135.94 = 178,497.24/x
  3. Step 3: Cross multiply
    515,547.96x = 773,135.94 × 178,497.24
  4. Step 4: Simplify right side
    515,547.96x = 138,002,631,434.81
  5. Step 5: Solve for x
    x = 138,002,631,434.81/515,547.96
  6. Step 6: Final answer
    x = 267,681.46

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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.