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Finding the Fourth Proportional to 586,176.69, 809,075.91 and 331,675.50

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Solution

The fourth proportional to 586,176.69, 809,075.91 and 331,675.50 is: 457,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,176.69 : 809,075.91 = 331,675.50 : x
  2. Step 2: Convert to fraction form
    586,176.69/809,075.91 = 331,675.50/x
  3. Step 3: Cross multiply
    586,176.69x = 809,075.91 × 331,675.50
  4. Step 4: Simplify right side
    586,176.69x = 268,350,656,987.21
  5. Step 5: Solve for x
    x = 268,350,656,987.21/586,176.69
  6. Step 6: Final answer
    x = 457,798.24

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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.