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Finding the Fourth Proportional to 375,055.89, 517,573.13 and 202,970.10

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Solution

The fourth proportional to 375,055.89, 517,573.13 and 202,970.10 is: 280,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055.89 : 517,573.13 = 202,970.10 : x
  2. Step 2: Convert to fraction form
    375,055.89/517,573.13 = 202,970.10/x
  3. Step 3: Cross multiply
    375,055.89x = 517,573.13 × 202,970.10
  4. Step 4: Simplify right side
    375,055.89x = 105,051,870,879.46
  5. Step 5: Solve for x
    x = 105,051,870,879.46/375,055.89
  6. Step 6: Final answer
    x = 280,096.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.