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Finding the Fourth Proportional to 319,241.80, 478,862.70 and 314,576.20

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Solution

The fourth proportional to 319,241.80, 478,862.70 and 314,576.20 is: 471,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,241.80 : 478,862.70 = 314,576.20 : x
  2. Step 2: Convert to fraction form
    319,241.80/478,862.70 = 314,576.20/x
  3. Step 3: Cross multiply
    319,241.80x = 478,862.70 × 314,576.20
  4. Step 4: Simplify right side
    319,241.80x = 150,638,808,487.74
  5. Step 5: Solve for x
    x = 150,638,808,487.74/319,241.80
  6. Step 6: Final answer
    x = 471,864.30

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1.5x scale

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.