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Finding the Fourth Proportional to 419,075.16, 578,323.71 and 228,089.94

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Solution

The fourth proportional to 419,075.16, 578,323.71 and 228,089.94 is: 314,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,075.16 : 578,323.71 = 228,089.94 : x
  2. Step 2: Convert to fraction form
    419,075.16/578,323.71 = 228,089.94/x
  3. Step 3: Cross multiply
    419,075.16x = 578,323.71 × 228,089.94
  4. Step 4: Simplify right side
    419,075.16x = 131,909,820,314.48
  5. Step 5: Solve for x
    x = 131,909,820,314.48/419,075.16
  6. Step 6: Final answer
    x = 314,764.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.