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Finding the Fourth Proportional to 586,461.01, 809,075.64 and 356,834.20

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Solution

The fourth proportional to 586,461.01, 809,075.64 and 356,834.20 is: 492,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,461.01 : 809,075.64 = 356,834.20 : x
  2. Step 2: Convert to fraction form
    586,461.01/809,075.64 = 356,834.20/x
  3. Step 3: Cross multiply
    586,461.01x = 809,075.64 × 356,834.20
  4. Step 4: Simplify right side
    586,461.01x = 288,705,858,738.89
  5. Step 5: Solve for x
    x = 288,705,858,738.89/586,461.01
  6. Step 6: Final answer
    x = 492,284.83

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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.