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Finding the Fourth Proportional to 556,511.81, 834,828.16 and 177,343.42

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Solution

The fourth proportional to 556,511.81, 834,828.16 and 177,343.42 is: 266,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,511.81 : 834,828.16 = 177,343.42 : x
  2. Step 2: Convert to fraction form
    556,511.81/834,828.16 = 177,343.42/x
  3. Step 3: Cross multiply
    556,511.81x = 834,828.16 × 177,343.42
  4. Step 4: Simplify right side
    556,511.81x = 148,051,281,006.71
  5. Step 5: Solve for x
    x = 148,051,281,006.71/556,511.81
  6. Step 6: Final answer
    x = 266,034.39

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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.