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Finding the Fourth Proportional to 633,623.16, 874,400.64 and 343,235.40

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Solution

The fourth proportional to 633,623.16, 874,400.64 and 343,235.40 is: 473,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,623.16 : 874,400.64 = 343,235.40 : x
  2. Step 2: Convert to fraction form
    633,623.16/874,400.64 = 343,235.40/x
  3. Step 3: Cross multiply
    633,623.16x = 874,400.64 × 343,235.40
  4. Step 4: Simplify right side
    633,623.16x = 300,125,253,430.66
  5. Step 5: Solve for x
    x = 300,125,253,430.66/633,623.16
  6. Step 6: Final answer
    x = 473,665.22

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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.