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Finding the Fourth Proportional to 507,413.76, 761,207.10 and 174,912

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Solution

The fourth proportional to 507,413.76, 761,207.10 and 174,912 is: 262,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,413.76 : 761,207.10 = 174,912 : x
  2. Step 2: Convert to fraction form
    507,413.76/761,207.10 = 174,912/x
  3. Step 3: Cross multiply
    507,413.76x = 761,207.10 × 174,912
  4. Step 4: Simplify right side
    507,413.76x = 133,144,256,275.20
  5. Step 5: Solve for x
    x = 133,144,256,275.20/507,413.76
  6. Step 6: Final answer
    x = 262,397.80

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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.