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Finding the Fourth Proportional to 464,224.96, 640,826.40 and 313,526.08

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Solution

The fourth proportional to 464,224.96, 640,826.40 and 313,526.08 is: 432,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,224.96 : 640,826.40 = 313,526.08 : x
  2. Step 2: Convert to fraction form
    464,224.96/640,826.40 = 313,526.08/x
  3. Step 3: Cross multiply
    464,224.96x = 640,826.40 × 313,526.08
  4. Step 4: Simplify right side
    464,224.96x = 200,915,789,152.51
  5. Step 5: Solve for x
    x = 200,915,789,152.51/464,224.96
  6. Step 6: Final answer
    x = 432,798.33

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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.