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Finding the Fourth Proportional to 514,715.84, 771,884 and 177,670.72

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Solution

The fourth proportional to 514,715.84, 771,884 and 177,670.72 is: 266,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,715.84 : 771,884 = 177,670.72 : x
  2. Step 2: Convert to fraction form
    514,715.84/771,884 = 177,670.72/x
  3. Step 3: Cross multiply
    514,715.84x = 771,884 × 177,670.72
  4. Step 4: Simplify right side
    514,715.84x = 137,141,186,036.48
  5. Step 5: Solve for x
    x = 137,141,186,036.48/514,715.84
  6. Step 6: Final answer
    x = 266,440.58

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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.