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Finding the Fourth Proportional to 417,653.62, 576,064.17 and 383,309.01

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Solution

The fourth proportional to 417,653.62, 576,064.17 and 383,309.01 is: 528,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,653.62 : 576,064.17 = 383,309.01 : x
  2. Step 2: Convert to fraction form
    417,653.62/576,064.17 = 383,309.01/x
  3. Step 3: Cross multiply
    417,653.62x = 576,064.17 × 383,309.01
  4. Step 4: Simplify right side
    417,653.62x = 220,810,586,699.17
  5. Step 5: Solve for x
    x = 220,810,586,699.17/417,653.62
  6. Step 6: Final answer
    x = 528,693.10

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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.