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Finding the Fourth Proportional to 478,344, 660,114.72 and 277,256.64

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Solution

The fourth proportional to 478,344, 660,114.72 and 277,256.64 is: 382,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,344 : 660,114.72 = 277,256.64 : x
  2. Step 2: Convert to fraction form
    478,344/660,114.72 = 277,256.64/x
  3. Step 3: Cross multiply
    478,344x = 660,114.72 × 277,256.64
  4. Step 4: Simplify right side
    478,344x = 183,021,189,281.74
  5. Step 5: Solve for x
    x = 183,021,189,281.74/478,344
  6. Step 6: Final answer
    x = 382,614.16

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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.