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Finding the Fourth Proportional to 312,282.38, 430,924.58 and 176,349.40

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Solution

The fourth proportional to 312,282.38, 430,924.58 and 176,349.40 is: 243,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,282.38 : 430,924.58 = 176,349.40 : x
  2. Step 2: Convert to fraction form
    312,282.38/430,924.58 = 176,349.40/x
  3. Step 3: Cross multiply
    312,282.38x = 430,924.58 × 176,349.40
  4. Step 4: Simplify right side
    312,282.38x = 75,993,291,128.25
  5. Step 5: Solve for x
    x = 75,993,291,128.25/312,282.38
  6. Step 6: Final answer
    x = 243,348.00

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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.