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Finding the Fourth Proportional to 299,312.48, 413,053.68 and 163,347.52

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Solution

The fourth proportional to 299,312.48, 413,053.68 and 163,347.52 is: 225,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,312.48 : 413,053.68 = 163,347.52 : x
  2. Step 2: Convert to fraction form
    299,312.48/413,053.68 = 163,347.52/x
  3. Step 3: Cross multiply
    299,312.48x = 413,053.68 × 163,347.52
  4. Step 4: Simplify right side
    299,312.48x = 67,471,294,254.87
  5. Step 5: Solve for x
    x = 67,471,294,254.87/299,312.48
  6. Step 6: Final answer
    x = 225,420.92

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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.