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Finding the Fourth Proportional to 474,114.34, 653,718.74 and 383,189.14

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Solution

The fourth proportional to 474,114.34, 653,718.74 and 383,189.14 is: 528,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,114.34 : 653,718.74 = 383,189.14 : x
  2. Step 2: Convert to fraction form
    474,114.34/653,718.74 = 383,189.14/x
  3. Step 3: Cross multiply
    474,114.34x = 653,718.74 × 383,189.14
  4. Step 4: Simplify right side
    474,114.34x = 250,497,921,782.48
  5. Step 5: Solve for x
    x = 250,497,921,782.48/474,114.34
  6. Step 6: Final answer
    x = 528,349.18

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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.