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Finding the Fourth Proportional to 510,492.56, 765,710.92 and 155,476.88

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Solution

The fourth proportional to 510,492.56, 765,710.92 and 155,476.88 is: 233,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,492.56 : 765,710.92 = 155,476.88 : x
  2. Step 2: Convert to fraction form
    510,492.56/765,710.92 = 155,476.88/x
  3. Step 3: Cross multiply
    510,492.56x = 765,710.92 × 155,476.88
  4. Step 4: Simplify right side
    510,492.56x = 119,050,344,823.53
  5. Step 5: Solve for x
    x = 119,050,344,823.53/510,492.56
  6. Step 6: Final answer
    x = 233,206.82

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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.