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Finding the Fourth Proportional to 523,290.18, 722,148 and 293,897.10

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Solution

The fourth proportional to 523,290.18, 722,148 and 293,897.10 is: 405,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,290.18 : 722,148 = 293,897.10 : x
  2. Step 2: Convert to fraction form
    523,290.18/722,148 = 293,897.10/x
  3. Step 3: Cross multiply
    523,290.18x = 722,148 × 293,897.10
  4. Step 4: Simplify right side
    523,290.18x = 212,237,202,970.80
  5. Step 5: Solve for x
    x = 212,237,202,970.80/523,290.18
  6. Step 6: Final answer
    x = 405,582.24

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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.