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Finding the Fourth Proportional to 520,101.80, 780,152.70 and 402,003.80

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Solution

The fourth proportional to 520,101.80, 780,152.70 and 402,003.80 is: 603,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,101.80 : 780,152.70 = 402,003.80 : x
  2. Step 2: Convert to fraction form
    520,101.80/780,152.70 = 402,003.80/x
  3. Step 3: Cross multiply
    520,101.80x = 780,152.70 × 402,003.80
  4. Step 4: Simplify right side
    520,101.80x = 313,624,349,980.26
  5. Step 5: Solve for x
    x = 313,624,349,980.26/520,101.80
  6. Step 6: Final answer
    x = 603,005.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.