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Finding the Fourth Proportional to 314,963.64, 471,692.77 and 172,594.80

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Solution

The fourth proportional to 314,963.64, 471,692.77 and 172,594.80 is: 258,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,963.64 : 471,692.77 = 172,594.80 : x
  2. Step 2: Convert to fraction form
    314,963.64/471,692.77 = 172,594.80/x
  3. Step 3: Cross multiply
    314,963.64x = 471,692.77 × 172,594.80
  4. Step 4: Simplify right side
    314,963.64x = 81,411,718,868.11
  5. Step 5: Solve for x
    x = 81,411,718,868.11/314,963.64
  6. Step 6: Final answer
    x = 258,479.74

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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.