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Finding the Fourth Proportional to 510,614.16, 766,034.94 and 155,655.84

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Solution

The fourth proportional to 510,614.16, 766,034.94 and 155,655.84 is: 233,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,614.16 : 766,034.94 = 155,655.84 : x
  2. Step 2: Convert to fraction form
    510,614.16/766,034.94 = 155,655.84/x
  3. Step 3: Cross multiply
    510,614.16x = 766,034.94 × 155,655.84
  4. Step 4: Simplify right side
    510,614.16x = 119,237,812,055.05
  5. Step 5: Solve for x
    x = 119,237,812,055.05/510,614.16
  6. Step 6: Final answer
    x = 233,518.42

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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.