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Finding the Fourth Proportional to 473,838.90, 710,653.79 and 136,806.23

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Solution

The fourth proportional to 473,838.90, 710,653.79 and 136,806.23 is: 205,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,838.90 : 710,653.79 = 136,806.23 : x
  2. Step 2: Convert to fraction form
    473,838.90/710,653.79 = 136,806.23/x
  3. Step 3: Cross multiply
    473,838.90x = 710,653.79 × 136,806.23
  4. Step 4: Simplify right side
    473,838.90x = 97,221,867,194.23
  5. Step 5: Solve for x
    x = 97,221,867,194.23/473,838.90
  6. Step 6: Final answer
    x = 205,179.16

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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.