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Finding the Fourth Proportional to 314,235.30, 471,353.93 and 77,578.01

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Solution

The fourth proportional to 314,235.30, 471,353.93 and 77,578.01 is: 116,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,235.30 : 471,353.93 = 77,578.01 : x
  2. Step 2: Convert to fraction form
    314,235.30/471,353.93 = 77,578.01/x
  3. Step 3: Cross multiply
    314,235.30x = 471,353.93 × 77,578.01
  4. Step 4: Simplify right side
    314,235.30x = 36,566,698,918.00
  5. Step 5: Solve for x
    x = 36,566,698,918.00/314,235.30
  6. Step 6: Final answer
    x = 116,367.25

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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.