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Finding the Fourth Proportional to 510,463.68, 765,726.56 and 155,503.68

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Solution

The fourth proportional to 510,463.68, 765,726.56 and 155,503.68 is: 233,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,463.68 : 765,726.56 = 155,503.68 : x
  2. Step 2: Convert to fraction form
    510,463.68/765,726.56 = 155,503.68/x
  3. Step 3: Cross multiply
    510,463.68x = 765,726.56 × 155,503.68
  4. Step 4: Simplify right side
    510,463.68x = 119,073,297,953.74
  5. Step 5: Solve for x
    x = 119,073,297,953.74/510,463.68
  6. Step 6: Final answer
    x = 233,264.98

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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.