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Finding the Fourth Proportional to 472,214.91, 651,637.61 and 257,350.37

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Solution

The fourth proportional to 472,214.91, 651,637.61 and 257,350.37 is: 355,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,214.91 : 651,637.61 = 257,350.37 : x
  2. Step 2: Convert to fraction form
    472,214.91/651,637.61 = 257,350.37/x
  3. Step 3: Cross multiply
    472,214.91x = 651,637.61 × 257,350.37
  4. Step 4: Simplify right side
    472,214.91x = 167,699,176,459.54
  5. Step 5: Solve for x
    x = 167,699,176,459.54/472,214.91
  6. Step 6: Final answer
    x = 355,133.16

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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.