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Finding the Fourth Proportional to 464,010.88, 640,143.64 and 302,807.92

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Solution

The fourth proportional to 464,010.88, 640,143.64 and 302,807.92 is: 417,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,010.88 : 640,143.64 = 302,807.92 : x
  2. Step 2: Convert to fraction form
    464,010.88/640,143.64 = 302,807.92/x
  3. Step 3: Cross multiply
    464,010.88x = 640,143.64 × 302,807.92
  4. Step 4: Simplify right side
    464,010.88x = 193,840,564,129.63
  5. Step 5: Solve for x
    x = 193,840,564,129.63/464,010.88
  6. Step 6: Final answer
    x = 417,750.04

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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.