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Finding the Fourth Proportional to 584,075.20, 875,464.80 and 228,971.20

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Solution

The fourth proportional to 584,075.20, 875,464.80 and 228,971.20 is: 343,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,075.20 : 875,464.80 = 228,971.20 : x
  2. Step 2: Convert to fraction form
    584,075.20/875,464.80 = 228,971.20/x
  3. Step 3: Cross multiply
    584,075.20x = 875,464.80 × 228,971.20
  4. Step 4: Simplify right side
    584,075.20x = 200,456,225,813.76
  5. Step 5: Solve for x
    x = 200,456,225,813.76/584,075.20
  6. Step 6: Final answer
    x = 343,202.77

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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.