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Finding the Fourth Proportional to 565,206.40, 849,777.90 and 478,601.20

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Solution

The fourth proportional to 565,206.40, 849,777.90 and 478,601.20 is: 719,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,206.40 : 849,777.90 = 478,601.20 : x
  2. Step 2: Convert to fraction form
    565,206.40/849,777.90 = 478,601.20/x
  3. Step 3: Cross multiply
    565,206.40x = 849,777.90 × 478,601.20
  4. Step 4: Simplify right side
    565,206.40x = 406,704,722,673.48
  5. Step 5: Solve for x
    x = 406,704,722,673.48/565,206.40
  6. Step 6: Final answer
    x = 719,568.50

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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.