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Finding the Fourth Proportional to 375,974.16, 563,934.96 and 176,338.32

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Solution

The fourth proportional to 375,974.16, 563,934.96 and 176,338.32 is: 264,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,974.16 : 563,934.96 = 176,338.32 : x
  2. Step 2: Convert to fraction form
    375,974.16/563,934.96 = 176,338.32/x
  3. Step 3: Cross multiply
    375,974.16x = 563,934.96 × 176,338.32
  4. Step 4: Simplify right side
    375,974.16x = 99,443,343,435.67
  5. Step 5: Solve for x
    x = 99,443,343,435.67/375,974.16
  6. Step 6: Final answer
    x = 264,495.15

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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.