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Finding the Fourth Proportional to 386,547.40, 579,792.30 and 161,849.80

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Solution

The fourth proportional to 386,547.40, 579,792.30 and 161,849.80 is: 242,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,547.40 : 579,792.30 = 161,849.80 : x
  2. Step 2: Convert to fraction form
    386,547.40/579,792.30 = 161,849.80/x
  3. Step 3: Cross multiply
    386,547.40x = 579,792.30 × 161,849.80
  4. Step 4: Simplify right side
    386,547.40x = 93,839,267,796.54
  5. Step 5: Solve for x
    x = 93,839,267,796.54/386,547.40
  6. Step 6: Final answer
    x = 242,762.64

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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.