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Finding the Fourth Proportional to 551,947.16, 828,241.99 and 232,075.87

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Solution

The fourth proportional to 551,947.16, 828,241.99 and 232,075.87 is: 348,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,947.16 : 828,241.99 = 232,075.87 : x
  2. Step 2: Convert to fraction form
    551,947.16/828,241.99 = 232,075.87/x
  3. Step 3: Cross multiply
    551,947.16x = 828,241.99 × 232,075.87
  4. Step 4: Simplify right side
    551,947.16x = 192,214,977,748.99
  5. Step 5: Solve for x
    x = 192,214,977,748.99/551,947.16
  6. Step 6: Final answer
    x = 348,248.87

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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.