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Finding the Fourth Proportional to 473,564.76, 710,270.46 and 173,971.68

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Solution

The fourth proportional to 473,564.76, 710,270.46 and 173,971.68 is: 260,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,564.76 : 710,270.46 = 173,971.68 : x
  2. Step 2: Convert to fraction form
    473,564.76/710,270.46 = 173,971.68/x
  3. Step 3: Cross multiply
    473,564.76x = 710,270.46 × 173,971.68
  4. Step 4: Simplify right side
    473,564.76x = 123,566,945,180.57
  5. Step 5: Solve for x
    x = 123,566,945,180.57/473,564.76
  6. Step 6: Final answer
    x = 260,929.35

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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.