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Finding the Fourth Proportional to 487,076.40, 730,614.60 and 319,114.80

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Solution

The fourth proportional to 487,076.40, 730,614.60 and 319,114.80 is: 478,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,076.40 : 730,614.60 = 319,114.80 : x
  2. Step 2: Convert to fraction form
    487,076.40/730,614.60 = 319,114.80/x
  3. Step 3: Cross multiply
    487,076.40x = 730,614.60 × 319,114.80
  4. Step 4: Simplify right side
    487,076.40x = 233,149,931,956.08
  5. Step 5: Solve for x
    x = 233,149,931,956.08/487,076.40
  6. Step 6: Final answer
    x = 478,672.20

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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.