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Finding the Fourth Proportional to 286,332.76, 429,463.50 and 153,071.56

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Solution

The fourth proportional to 286,332.76, 429,463.50 and 153,071.56 is: 229,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,332.76 : 429,463.50 = 153,071.56 : x
  2. Step 2: Convert to fraction form
    286,332.76/429,463.50 = 153,071.56/x
  3. Step 3: Cross multiply
    286,332.76x = 429,463.50 × 153,071.56
  4. Step 4: Simplify right side
    286,332.76x = 65,738,647,908.06
  5. Step 5: Solve for x
    x = 65,738,647,908.06/286,332.76
  6. Step 6: Final answer
    x = 229,588.29

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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.