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Finding the Fourth Proportional to 299,271.40, 448,907.10 and 77,655.40

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Solution

The fourth proportional to 299,271.40, 448,907.10 and 77,655.40 is: 116,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271.40 : 448,907.10 = 77,655.40 : x
  2. Step 2: Convert to fraction form
    299,271.40/448,907.10 = 77,655.40/x
  3. Step 3: Cross multiply
    299,271.40x = 448,907.10 × 77,655.40
  4. Step 4: Simplify right side
    299,271.40x = 34,860,060,413.34
  5. Step 5: Solve for x
    x = 34,860,060,413.34/299,271.40
  6. Step 6: Final answer
    x = 116,483.10

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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.