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Finding the Fourth Proportional to 340,001.40, 508,835.70 and 312,007.80

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Solution

The fourth proportional to 340,001.40, 508,835.70 and 312,007.80 is: 466,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,001.40 : 508,835.70 = 312,007.80 : x
  2. Step 2: Convert to fraction form
    340,001.40/508,835.70 = 312,007.80/x
  3. Step 3: Cross multiply
    340,001.40x = 508,835.70 × 312,007.80
  4. Step 4: Simplify right side
    340,001.40x = 158,760,707,318.46
  5. Step 5: Solve for x
    x = 158,760,707,318.46/340,001.40
  6. Step 6: Final answer
    x = 466,941.33

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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.