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Finding the Fourth Proportional to 343,004.94, 514,683 and 163,293.66

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Solution

The fourth proportional to 343,004.94, 514,683 and 163,293.66 is: 245,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,004.94 : 514,683 = 163,293.66 : x
  2. Step 2: Convert to fraction form
    343,004.94/514,683 = 163,293.66/x
  3. Step 3: Cross multiply
    343,004.94x = 514,683 × 163,293.66
  4. Step 4: Simplify right side
    343,004.94x = 84,044,470,809.78
  5. Step 5: Solve for x
    x = 84,044,470,809.78/343,004.94
  6. Step 6: Final answer
    x = 245,024.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.