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Finding the Fourth Proportional to 1,314,492.80, 1,971,739.20 and 472,935.20

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Solution

The fourth proportional to 1,314,492.80, 1,971,739.20 and 472,935.20 is: 709,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,492.80 : 1,971,739.20 = 472,935.20 : x
  2. Step 2: Convert to fraction form
    1,314,492.80/1,971,739.20 = 472,935.20/x
  3. Step 3: Cross multiply
    1,314,492.80x = 1,971,739.20 × 472,935.20
  4. Step 4: Simplify right side
    1,314,492.80x = 932,504,872,899.84
  5. Step 5: Solve for x
    x = 932,504,872,899.84/1,314,492.80
  6. Step 6: Final answer
    x = 709,402.80

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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.