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Finding the Fourth Proportional to 519,946.80, 780,503.40 and 402,140.40

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Solution

The fourth proportional to 519,946.80, 780,503.40 and 402,140.40 is: 603,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,946.80 : 780,503.40 = 402,140.40 : x
  2. Step 2: Convert to fraction form
    519,946.80/780,503.40 = 402,140.40/x
  3. Step 3: Cross multiply
    519,946.80x = 780,503.40 × 402,140.40
  4. Step 4: Simplify right side
    519,946.80x = 313,871,949,477.36
  5. Step 5: Solve for x
    x = 313,871,949,477.36/519,946.80
  6. Step 6: Final answer
    x = 603,661.66

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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.