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Finding the Fourth Proportional to 385,468.80, 578,462.40 and 174,998.40

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Solution

The fourth proportional to 385,468.80, 578,462.40 and 174,998.40 is: 262,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,468.80 : 578,462.40 = 174,998.40 : x
  2. Step 2: Convert to fraction form
    385,468.80/578,462.40 = 174,998.40/x
  3. Step 3: Cross multiply
    385,468.80x = 578,462.40 × 174,998.40
  4. Step 4: Simplify right side
    385,468.80x = 101,229,994,460.16
  5. Step 5: Solve for x
    x = 101,229,994,460.16/385,468.80
  6. Step 6: Final answer
    x = 262,615.27

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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.