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Finding the Fourth Proportional to 299,675.81, 413,545.70 and 163,710.32

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Solution

The fourth proportional to 299,675.81, 413,545.70 and 163,710.32 is: 225,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,675.81 : 413,545.70 = 163,710.32 : x
  2. Step 2: Convert to fraction form
    299,675.81/413,545.70 = 163,710.32/x
  3. Step 3: Cross multiply
    299,675.81x = 413,545.70 × 163,710.32
  4. Step 4: Simplify right side
    299,675.81x = 67,701,698,063.07
  5. Step 5: Solve for x
    x = 67,701,698,063.07/299,675.81
  6. Step 6: Final answer
    x = 225,916.46

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1.5x scale

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.