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Finding the Fourth Proportional to 492,340.78, 738,510.60 and 176,798.02

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Solution

The fourth proportional to 492,340.78, 738,510.60 and 176,798.02 is: 265,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,340.78 : 738,510.60 = 176,798.02 : x
  2. Step 2: Convert to fraction form
    492,340.78/738,510.60 = 176,798.02/x
  3. Step 3: Cross multiply
    492,340.78x = 738,510.60 × 176,798.02
  4. Step 4: Simplify right side
    492,340.78x = 130,567,211,829.01
  5. Step 5: Solve for x
    x = 130,567,211,829.01/492,340.78
  6. Step 6: Final answer
    x = 265,196.83

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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.