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Finding the Fourth Proportional to 520,083.80, 780,708.90 and 402,277.40

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Solution

The fourth proportional to 520,083.80, 780,708.90 and 402,277.40 is: 603,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.80 : 780,708.90 = 402,277.40 : x
  2. Step 2: Convert to fraction form
    520,083.80/780,708.90 = 402,277.40/x
  3. Step 3: Cross multiply
    520,083.80x = 780,708.90 × 402,277.40
  4. Step 4: Simplify right side
    520,083.80x = 314,061,546,448.86
  5. Step 5: Solve for x
    x = 314,061,546,448.86/520,083.80
  6. Step 6: Final answer
    x = 603,867.20

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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.