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Finding the Fourth Proportional to 472,045.92, 651,664.61 and 319,888.03

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Solution

The fourth proportional to 472,045.92, 651,664.61 and 319,888.03 is: 441,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,045.92 : 651,664.61 = 319,888.03 : x
  2. Step 2: Convert to fraction form
    472,045.92/651,664.61 = 319,888.03/x
  3. Step 3: Cross multiply
    472,045.92x = 651,664.61 × 319,888.03
  4. Step 4: Simplify right side
    472,045.92x = 208,459,703,455.86
  5. Step 5: Solve for x
    x = 208,459,703,455.86/472,045.92
  6. Step 6: Final answer
    x = 441,608.96

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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.