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Finding the Fourth Proportional to 519,923.80, 780,468.90 and 402,117.40

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Solution

The fourth proportional to 519,923.80, 780,468.90 and 402,117.40 is: 603,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,923.80 : 780,468.90 = 402,117.40 : x
  2. Step 2: Convert to fraction form
    519,923.80/780,468.90 = 402,117.40/x
  3. Step 3: Cross multiply
    519,923.80x = 780,468.90 × 402,117.40
  4. Step 4: Simplify right side
    519,923.80x = 313,840,124,848.86
  5. Step 5: Solve for x
    x = 313,840,124,848.86/519,923.80
  6. Step 6: Final answer
    x = 603,627.16

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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.